The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+484x^8+1160x^9+3810x^10+7096x^11+13075x^12+14224x^13+13148x^14+7088x^15+3866x^16+1128x^17+418x^18+24x^19+13x^20+1x^24

The gray image is a code over GF(2) with n=52, k=16 and d=16.
This code was found by Heurico 1.11 in 253 seconds.