The generator matrix
1 1 1 1 1 1 1 1 2 0 2 12 1 1
0 2 12 6 8 14 4 10 6 2 10 2 0 12
generates a code of length 14 over Z16 who´s minimum homogenous weight is 13.
Homogenous weight enumerator: w(x)=1x^0+40x^13+44x^14+40x^15+1x^16+2x^20
The gray image is a code over GF(2) with n=112, k=7 and d=52.
This code was found by Heurico 1.16 in 0.000973 seconds.