The generator matrix

 1  0  0  0  1  1  1 10 14  1  1  1  1  1  1  1
 0  1  0  0  4  9 13  1  1  6  4  7 11 15 14  8
 0  0  1  0  5  1  4  5  8  1  2 14  7 12 11 15
 0  0  0  1  1  4  5  5 11 10 11  4 13  6  7 12

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

Homogenous weight enumerator: w(x)=1x^0+460x^12+2034x^13+6277x^14+14570x^15+18669x^16+14912x^17+6250x^18+1856x^19+460x^20+30x^21+9x^22+6x^23+2x^24

The gray image is a code over GF(2) with n=128, k=16 and d=48.
This code was found by Heurico 1.16 in 6.59 seconds.