The generator matrix

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

generates a code of length 13 over Z8 who´s minimum homogenous weight is 6.

Homogenous weight enumerator: w(x)=1x^0+80x^6+583x^8+256x^9+2872x^10+2048x^11+8752x^12+3584x^13+8744x^14+2048x^15+2887x^16+256x^17+584x^18+64x^20+8x^22+1x^24

The gray image is a code over GF(2) with n=52, k=15 and d=12.
This code was found by Heurico 1.16 in 0.936 seconds.