The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+106x^8+454x^9+1466x^10+3778x^11+7290x^12+12704x^13+13991x^14+12564x^15+7353x^16+3862x^17+1429x^18+426x^19+98x^20+4x^21+9x^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 1.16 in 7.42 seconds.