The generator matrix
1 1 1 1 1 1 1 1 2 2 2 1 2 1
0 12 0 0 0 0 8 12 12 4 4 4 0 0
0 0 12 0 0 0 12 12 8 12 12 8 8 0
0 0 0 12 0 0 4 0 0 12 4 12 8 4
0 0 0 0 12 0 4 8 12 12 0 8 0 4
0 0 0 0 0 12 4 8 12 8 12 0 12 8
generates a code of length 14 over Z16 who´s minimum homogenous weight is 8.
Homogenous weight enumerator: w(x)=1x^0+56x^8+150x^9+242x^10+438x^11+822x^12+1446x^13+10018x^14+1494x^15+871x^16+434x^17+230x^18+114x^19+42x^20+18x^21+6x^22+2x^23
The gray image is a code over GF(2) with n=112, k=14 and d=32.
This code was found by Heurico 1.16 in 0.447 seconds.