The generator matrix

 1  1  1  1  1  1  1  1  2  0  2 12  2  8  1
 0  2 12  6  8 14  4 10  6  2 10  2 14  2  0

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

Homogenous weight enumerator: w(x)=1x^0+30x^14+64x^15+30x^16+1x^18+1x^20+1x^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 0.00117 seconds.