The generator matrix

 1  0  0  0  0  1  1  1  0  2  1  6  1  1
 0  1  0  0  0  0  1  3  1  1  1  1  3  0
 0  0  1  0  0  1  0  3  7  3  4  2  5  0
 0  0  0  1  0  1  3  2  1  1  5  6  0  0
 0  0  0  0  1  1  5  1  2  1  6  1  6  0
 0  0  0  0  0  4  4  0  4  0  0  4  0  0

generates a code of length 14 over Z8 who´s minimum homogenous weight is 8.

Homogenous weight enumerator: w(x)=1x^0+195x^8+622x^9+1877x^10+4136x^11+7427x^12+11526x^13+13790x^14+11808x^15+7388x^16+4090x^17+1894x^18+568x^19+189x^20+18x^21+6x^22+1x^26

The gray image is a code over GF(2) with n=56, k=16 and d=16.
This code was found by Heurico 1.11 in 3.14 seconds.