The generator matrix

 1  0  1  1  1  6  1  1  1  1  1  1  1
 0  1  3  6  5  1  0  6  6  2  3  5  0
 0  0  4  0  4  0  0  4  0  4  4  0  0
 0  0  0  4  4  4  4  4  0  0  4  0  0

generates a code of length 13 over Z8 who´s minimum homogenous weight is 10.

Homogenous weight enumerator: w(x)=1x^0+13x^10+40x^11+51x^12+48x^13+49x^14+40x^15+11x^16+1x^18+1x^20+1x^22

The gray image is a code over GF(2) with n=52, k=8 and d=20.
This code was found by Heurico 1.16 in 0.000912 seconds.