The generator matrix

 1  1  1  1  1  1  1  1  2  2  2  2  1
 0  2  0  0  0  2  6  2  4  0  0  4  0
 0  0  2  0  2  2  6  0  0  2  2  0  0
 0  0  0  2  2  0  6  2  2  2  2  2  0
 0  0  0  0  4  0  0  0  0  4  4  0  0
 0  0  0  0  0  4  0  0  4  4  0  0  0
 0  0  0  0  0  0  4  0  4  0  4  4  0
 0  0  0  0  0  0  0  4  4  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+37x^6+28x^7+167x^8+232x^9+348x^10+1252x^11+464x^12+3120x^13+478x^14+1252x^15+359x^16+232x^17+156x^18+28x^19+32x^20+5x^22+1x^24

The gray image is a code over GF(2) with n=52, k=13 and d=12.
This code was found by Heurico 1.16 in 0.0893 seconds.