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.