The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+27x^6+120x^7+332x^8+1424x^9+2658x^10+8072x^11+13370x^12+13536x^13+13360x^14+8072x^15+2659x^16+1424x^17+334x^18+120x^19+22x^20+5x^22

The gray image is a code over GF(2) with n=52, k=16 and d=12.
This code was found by Heurico 1.16 in 2.61 seconds.