The generator matrix
1 0 0 1 1 1 6 1 1 1 1
0 1 0 1 6 3 1 4 2 0 0
0 0 1 1 3 6 3 2 2 0 0
0 0 0 4 0 0 4 0 0 4 0
0 0 0 0 4 0 4 4 4 4 0
0 0 0 0 0 4 4 0 4 0 0
generates a code of length 11 over Z8 who´s minimum homogenous weight is 6.
Homogenous weight enumerator: w(x)=1x^0+60x^6+40x^7+206x^8+512x^9+496x^10+1456x^11+512x^12+512x^13+204x^14+40x^15+49x^16+8x^18
The gray image is a code over GF(2) with n=44, k=12 and d=12.
This code was found by Heurico 1.16 in 0.0146 seconds.