The generator matrix
1 1 1 1 1 1 1 1 1 2 2 2 4 1
0 2 0 0 0 2 6 2 4 0 6 4 4 4
0 0 2 0 2 2 2 4 6 2 2 4 2 4
0 0 0 2 2 0 2 6 2 2 6 6 6 2
0 0 0 0 4 0 0 0 0 4 4 0 4 4
0 0 0 0 0 4 4 0 0 4 4 4 0 4
generates a code of length 14 over Z8 who´s minimum homogenous weight is 9.
Homogenous weight enumerator: w(x)=1x^0+38x^9+63x^10+112x^11+260x^12+358x^13+389x^14+368x^15+243x^16+114x^17+57x^18+32x^19+8x^20+2x^21+3x^22
The gray image is a code over GF(2) with n=56, k=11 and d=18.
This code was found by Heurico 1.16 in 0.233 seconds.