The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+122x^8+140x^9+392x^10+980x^11+1504x^12+1848x^13+1584x^14+1000x^15+397x^16+124x^17+72x^18+4x^19+24x^20

The gray image is a code over GF(2) with n=52, k=13 and d=16.
This code was found by Heurico 1.16 in 0.214 seconds.