The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+95x^6+168x^7+414x^8+664x^9+1236x^10+2984x^11+6460x^12+8792x^13+6410x^14+2872x^15+1257x^16+776x^17+436x^18+120x^19+60x^20+8x^21+15x^22

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 1.55 seconds.