The generator matrix
1 0 0 0 1 1 1 1 0 1 1 1 X X X 1 1 1 1 1 1 1 1 X X 1 0 1 0 X 0 X X 1 X 1 X 1 0 1 1 0 X 0 X X 0 0 1 1 1 0 X 0 X 1 1 1 1 1 1 1 1 1 1 1
0 1 0 0 1 0 0 1 1 0 1 1 1 1 0 X X X X X X X 0 1 1 1 1 X X 0 1 1 0 0 1 0 0 0 1 1 1 1 1 0 1 1 0 1 1 X X+1 1 X X 1 1 0 0 0 0 0 0 0 0 0 0
0 0 1 0 1 0 1 0 1 1 1 0 0 1 1 0 0 0 0 X 0 0 X X+1 X X 1 X+1 0 1 X 1 1 X 1 0 0 X 1 X+1 X 1 0 1 1 X X 1 0 1 1 X 1 1 X 0 0 0 0 0 0 0 0 0 0 0
0 0 0 1 1 1 0 0 1 1 0 1 X+1 X X+1 1 1 1 X+1 1 1 1 X+1 0 X+1 1 1 X+1 1 1 X X 1 X 0 X+1 1 1 0 1 0 1 1 X+1 X+1 X 1 X+1 X+1 X X X X 0 X+1 X+1 0 0 0 0 0 0 0 0 0 0
0 0 0 0 X 0 0 0 0 0 0 0 X 0 X X 0 0 X X 0 X X X X 0 X X 0 0 0 0 0 0 X 0 0 0 X X 0 0 X X 0 0 X X 0 0 0 0 X X X X 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 X X X X X X X 0 0 0 X 0 0 X X X 0 0 X X 0 0 0 0 X 0 0 X X 0 X X 0 X X X 0 X X 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 X 0 0 0 0 0 X X 0 X X X X 0 0 X 0 0 X X X 0 X 0 0 X X 0 0 X X X 0 X X X X 0 X X X X X X X X X 0 0 X 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 X 0 0 0 0 0 X X X 0 X 0 0 X X X 0 X 0 0 0 0 X 0 X X X X 0 0 0 0 0 X X 0 X 0 X X 0 0 X 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 X 0 0 X 0 0 X X X 0 X 0 X X 0 0 X 0 0 0 X 0 0 0 0 X X X X 0 0 0 X X X 0 X 0 X X 0 X 0 X 0 X 0 X 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 X 0 X X 0 X 0 X X 0 0 0 X X X X X X X X 0 0 0 X X X 0 X 0 0 0 0 X 0 0 0 0 0 X X X X 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 X X X X 0 0 0 0 X 0 X X X 0 X 0 0 0 X 0 X X X X 0 0 0 X X X X X X 0 0 0 X 0 X 0 X 0 X X 0 X 0 0 0 0 0 0 0 0 0 0
generates a code of length 66 over Z2[X]/(X^2) who´s minimum homogenous weight is 41.
Homogenous weight enumerator: w(x)=1x^0+10x^41+43x^42+38x^43+100x^44+102x^45+150x^46+198x^47+259x^48+306x^49+390x^50+472x^51+518x^52+714x^53+715x^54+824x^55+877x^56+816x^57+891x^58+962x^59+933x^60+1156x^61+1188x^62+1250x^63+1385x^64+1324x^65+1443x^66+1390x^67+1399x^68+1266x^69+1194x^70+1070x^71+1051x^72+968x^73+912x^74+876x^75+758x^76+810x^77+653x^78+688x^79+543x^80+510x^81+424x^82+314x^83+289x^84+168x^85+137x^86+98x^87+58x^88+34x^89+40x^90+12x^91+19x^92+8x^93+11x^94+2x^96+1x^98
The gray image is a linear code over GF(2) with n=132, k=15 and d=41.
This code was found by Heurico 1.16 in 99.8 seconds.