The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+36x^8+164x^9+334x^10+388x^11+602x^12+904x^13+774x^14+488x^15+251x^16+84x^17+42x^18+20x^19+6x^20+2x^22

The gray image is a code over GF(2) with n=52, k=12 and d=16.
This code was found by Heurico 1.16 in 0.0489 seconds.