The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+28x^8+116x^9+134x^10+196x^11+298x^12+360x^13+470x^14+296x^15+51x^16+36x^17+34x^18+20x^19+6x^20+2x^22

The gray image is a code over GF(2) with n=52, k=11 and d=16.
This code was found by Heurico 1.16 in 0.0181 seconds.