The generator matrix

 1  1  1  1  1  1  2  1  2  1  2  2  4  0  1
 0 12  8  4  0 12 12  8  4  4  0  8 12  4  0

generates a code of length 15 over Z16 who´s minimum homogenous weight is 14.

Homogenous weight enumerator: w(x)=1x^0+18x^14+20x^15+19x^16+4x^17+2x^18

The gray image is a code over GF(2) with n=120, k=6 and d=56.
This code was found by Heurico 1.16 in 0.000884 seconds.