The generator matrix

 1  1  1  1  2  2  2  1  1  1  1  1  1
 0  2  0  2  0  2  2  0  4  2  6  0  0
 0  0  2  2  2  2  0  0  2  2  0  0  0
 0  0  0  4  0  0  0  0  0  4  0  4  0
 0  0  0  0  4  0  0  0  4  4  0  4  0
 0  0  0  0  0  4  0  0  4  0  4  0  0
 0  0  0  0  0  0  4  0  4  4  4  4  0
 0  0  0  0  0  0  0  4  4  0  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+24x^6+115x^8+324x^10+384x^11+556x^12+1280x^13+564x^14+384x^15+331x^16+108x^18+20x^20+4x^22+1x^24

The gray image is a code over GF(2) with n=52, k=12 and d=12.
This code was found by Heurico 1.16 in 0.0199 seconds.