The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+186x^8+722x^9+1667x^10+3960x^11+6079x^12+7516x^13+6054x^14+4040x^15+1731x^16+610x^17+151x^18+48x^19+3x^20

The gray image is a code over GF(2) with n=52, k=15 and d=16.
This code was found by Heurico 1.16 in 2.32 seconds.