The generator matrix
1 1 1 1 1 1 1 1 2 2 2 1 12 1
0 2 0 0 0 2 6 10 10 10 8 4 2 6
0 0 2 0 2 2 10 0 8 6 4 8 4 2
0 0 0 2 2 8 10 6 14 0 6 6 12 6
0 0 0 0 8 8 0 8 0 8 0 8 0 0
generates a code of length 14 over Z16 who´s minimum homogenous weight is 10.
Homogenous weight enumerator: w(x)=1x^0+272x^10+552x^11+1349x^12+3616x^13+4663x^14+3824x^15+1421x^16+416x^17+214x^18+40x^19+13x^20+3x^22
The gray image is a code over GF(2) with n=112, k=14 and d=40.
This code was found by Heurico 1.16 in 1.42 seconds.