The generator matrix
1 1 1 1 1 1
0 7 0 0 0 7
0 0 7 0 0 35
0 0 0 7 0 35
0 0 0 0 7 35
generates a code of length 6 over Z49 who´s minimum homogenous weight is 14.
Homogenous weight enumerator: w(x)=1x^0+90x^14+600x^21+2790x^28+6660x^35+100842x^36+6666x^42
The gray image is a code over GF(7) with n=42, k=6 and d=14.
This code was found by Heurico 1.16 in 0.196 seconds.