The generator matrix
1 1 1 1 1 1 1 1 2 2 2 2 2 2 2
0 8 0 0 0 8 8 8 0 0 8 8 0 8 0
0 0 8 0 8 8 8 0 0 8 8 0 8 8 0
0 0 0 8 8 0 8 8 8 8 0 0 0 8 0
generates a code of length 15 over Z16 who´s minimum homogenous weight is 14.
Homogenous weight enumerator: w(x)=1x^0+14x^14+96x^15+15x^16+2x^22
The gray image is a code over GF(2) with n=120, k=7 and d=56.
This code was found by Heurico 1.16 in 0.00128 seconds.