The generator matrix

 1  0  0  1  1  1  6  1  1  1  1  2  1
 0  1  0  1  6  3  1  4  2  3  4  1  0
 0  0  1  1  3  6  3  2  2  0  1  1  0
 0  0  0  4  0  0  4  0  0  4  4  0  0
 0  0  0  0  4  0  4  4  4  4  0  4  0
 0  0  0  0  0  4  4  0  4  0  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+46x^8+92x^9+248x^10+512x^11+598x^12+1096x^13+610x^14+512x^15+245x^16+92x^17+36x^18+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 0.0331 seconds.