The generator matrix

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

generates a code of length 12 over Z8 who´s minimum homogenous weight is 6.

Homogenous weight enumerator: w(x)=1x^0+53x^6+80x^7+194x^8+312x^9+424x^10+1672x^11+2712x^12+1648x^13+498x^14+288x^15+165x^16+88x^17+48x^18+8x^19+1x^22

The gray image is a code over GF(2) with n=48, k=13 and d=12.
This code was found by Heurico 1.16 in 0.115 seconds.