The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+58x^8+256x^9+466x^10+1000x^11+1496x^12+1568x^13+1598x^14+1040x^15+397x^16+224x^17+78x^18+8x^19+2x^22

The gray image is a code over GF(2) with n=52, k=13 and d=16.
This code was found by Heurico 1.11 in 0.124 seconds.