The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+31x^6+32x^7+91x^8+192x^9+480x^10+864x^11+1444x^12+1920x^13+1446x^14+864x^15+483x^16+192x^17+88x^18+32x^19+28x^20+3x^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 0.0569 seconds.