The generator matrix
1 1 1 1 1 1 2 1 1 2 4 4
0 2 0 0 0 0 6 4 6 2 0 2
0 0 2 0 0 0 2 6 6 4 2 6
0 0 0 2 0 2 0 2 4 6 4 4
0 0 0 0 2 2 2 4 6 0 2 0
0 0 0 0 0 4 4 4 0 4 4 4
generates a code of length 12 over Z8 who´s minimum homogenous weight is 7.
Homogenous weight enumerator: w(x)=1x^0+60x^7+137x^8+210x^9+446x^10+742x^11+861x^12+772x^13+500x^14+216x^15+86x^16+42x^17+14x^18+6x^19+3x^20
The gray image is a code over GF(2) with n=48, k=12 and d=14.
This code was found by Heurico 1.16 in 0.211 seconds.