The generator matrix

 1  0  0  1  1  1  2  0  1  1  1  1  6
 0  1  0  1  2  3  1  1  0  7  6  2  0
 0  0  1  1  1  0  3  2  2  2  3  0  1
 0  0  0  2  0  6  2  6  6  4  4  2  4
 0  0  0  0  4  0  0  4  4  4  4  4  0
 0  0  0  0  0  4  0  4  0  0  4  0  4
 0  0  0  0  0  0  4  4  4  0  4  0  0

generates a code of length 13 over Z8 who´s minimum homogenous weight is 8.

Homogenous weight enumerator: w(x)=1x^0+151x^8+240x^9+880x^10+1984x^11+3040x^12+3744x^13+3104x^14+1984x^15+887x^16+240x^17+112x^18+16x^20+1x^24

The gray image is a code over GF(2) with n=52, k=14 and d=16.
This code was found by Heurico 1.16 in 0.612 seconds.