The generator matrix
1 0 1 1 1 12 1 1 10 1 1 10 1 2 1 1
0 1 1 0 11 1 2 13 1 15 10 1 8 10 2 8
0 0 2 6 0 2 2 4 6 10 6 4 6 2 2 0
0 0 0 12 12 12 8 0 0 4 8 4 4 4 4 4
generates a code of length 16 over Z16 who´s minimum homogenous weight is 12.
Homogenous weight enumerator: w(x)=1x^0+60x^12+302x^13+738x^14+1762x^15+2499x^16+1732x^17+732x^18+284x^19+64x^20+14x^21+2x^22+2x^23
The gray image is a code over GF(2) with n=128, k=13 and d=48.
This code was found by Heurico 1.16 in 0.172 seconds.