The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+88x^6+64x^7+354x^8+384x^9+2229x^10+3520x^11+5520x^12+8448x^13+5520x^14+3520x^15+2229x^16+384x^17+354x^18+64x^19+88x^20+1x^26

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 0.941 seconds.