The generator matrix

 1  0  1  1  1  6  1  1  0  1  1  1  1
 0  1  3  6  1  1  0  3  1  6  0  3  3
 0  0  4  0  0  0  0  0  0  0  4  4  4
 0  0  0  4  0  0  0  0  0  4  4  4  0
 0  0  0  0  4  0  0  0  4  4  0  0  4
 0  0  0  0  0  4  0  0  4  4  0  4  0
 0  0  0  0  0  0  4  0  4  0  4  4  0
 0  0  0  0  0  0  0  4  4  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+71x^8+32x^9+176x^10+384x^11+1056x^12+704x^13+960x^14+384x^15+263x^16+32x^17+16x^18+16x^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 0.0343 seconds.