The generator matrix

 1  1  1  1  1  1  1  2  1  1  2  2  1
 0  2  0  0  0  2  0  4  2  2  6  2  4
 0  0  2  0  0  2  0  2  6  4  0  0  4
 0  0  0  2  0  2  2  0  4  2  6  0  6
 0  0  0  0  2  2  2  0  2  4  2  2  4
 0  0  0  0  0  4  4  4  0  4  0  4  4

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

Homogenous weight enumerator: w(x)=1x^0+129x^8+324x^10+192x^11+1094x^12+640x^13+1048x^14+192x^15+365x^16+100x^18+10x^20+1x^24

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 0.0792 seconds.