The generator matrix

 1  0  1  1  1 10  1  1 14  1  1 10  1  8  1  1
 0  1  1  0  3  1  8 11  1 10 14  1  5  8 12 12
 0  0  2  0 14  8  2 12  2 14  0  6  4 12  8  0
 0  0  0  2 14 14 14  8  6  0 12  6 12  2 14  6

generates a code of length 16 over Z16 who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+163x^12+642x^13+1337x^14+3408x^15+5201x^16+3572x^17+1324x^18+544x^19+155x^20+26x^21+9x^22+2x^26

The gray image is a code over GF(2) with n=128, k=14 and d=48.
This code was found by Heurico 1.16 in 0.471 seconds.