The generator matrix
1 0 0 1 1 1 2 4 1 1 2 1 0 1
0 1 0 1 2 7 1 0 6 5 1 6 1 3
0 0 1 1 1 0 1 1 6 3 0 2 6 6
0 0 0 2 0 6 4 6 4 0 6 6 4 6
0 0 0 0 4 4 4 0 4 4 0 0 4 4
generates a code of length 14 over Z8 who´s minimum homogenous weight is 10.
Homogenous weight enumerator: w(x)=1x^0+145x^10+180x^11+616x^12+560x^13+1039x^14+664x^15+619x^16+112x^17+127x^18+20x^19+12x^20+1x^22
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 0.0888 seconds.