The generator matrix

 1  0  0  0  1  1  1  4  1  2  1  2  1
 0  1  0  0  4  1  5  1  6  0  3  2  0
 0  0  1  0  5  1  6  3  1  4  0  1  2
 0  0  0  1  1  4  3  1  2  1  6  7  6

generates a code of length 13 over Z8 who´s minimum homogenous weight is 9.

Homogenous weight enumerator: w(x)=1x^0+76x^9+271x^10+522x^11+729x^12+866x^13+806x^14+500x^15+229x^16+80x^17+11x^18+2x^19+1x^20+2x^21

The gray image is a code over GF(2) with n=52, k=12 and d=18.
This code was found by Heurico 1.16 in 0.0588 seconds.