The generator matrix

 1  1  1  1  1  1  1  1  2  2  2  2  2  2  2
 0 12  0 12  8  4  8  4 12 12  0  8  4  0  8
 0  0  8  8  8  8  0  0  0  8  8  8  8  0  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 0.00185 seconds.