The generator matrix

 1  0  0  1  1  1  2  1 10  1  1  2 12  1  8  8
 0  1  0  1  2  7  1  9  6 10  4  1  1  5 14  1
 0  0  1  1  5  2  5  7  1  2  1 14 13  3  1  0
 0  0  0 12  4  8  4  4  8 12  8 12  8  0  8 12

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

Homogenous weight enumerator: w(x)=1x^0+86x^12+546x^13+1510x^14+3836x^15+4361x^16+3960x^17+1508x^18+468x^19+78x^20+22x^21+6x^22+2x^24

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 0.453 seconds.