The generator matrix
1 0 0 1 1 1 6 1 1 2 1 1 1 1
0 1 0 1 6 3 1 4 5 1 3 0 1 2
0 0 1 1 3 6 3 2 3 2 3 3 2 1
0 0 0 4 0 0 4 0 0 4 4 0 0 4
0 0 0 0 4 0 4 4 0 0 4 0 4 0
0 0 0 0 0 4 4 0 0 0 4 4 4 4
generates a code of length 14 over Z8 who´s minimum homogenous weight is 10.
Homogenous weight enumerator: w(x)=1x^0+156x^10+160x^11+599x^12+608x^13+1050x^14+608x^15+606x^16+160x^17+136x^18+9x^20+2x^22+1x^24
The gray image is a code over GF(2) with n=56, k=12 and d=20.
This code was found by Heurico 1.16 in 1.23 seconds.