The generator matrix
1 1 1 1 1 1 1 1 2 2 2 0 1
0 2 0 0 0 2 6 10 4 10 4 2 8
0 0 2 0 2 2 2 4 0 12 6 6 8
0 0 0 2 2 4 6 2 2 14 2 6 12
0 0 0 0 4 4 4 8 8 4 0 0 8
generates a code of length 13 over Z16 who´s minimum homogenous weight is 8.
Homogenous weight enumerator: w(x)=1x^0+77x^8+354x^9+1052x^10+2576x^11+7332x^12+9948x^13+7325x^14+2712x^15+1000x^16+274x^17+102x^18+8x^19+6x^20+1x^22
The gray image is a code over GF(2) with n=104, k=15 and d=32.
This code was found by Heurico 1.16 in 1.34 seconds.