The generator matrix

 1  0  1  1  1 12  1  1 10  1  1 10  1  2  1  1
 0  1  1  0 11  1  2 13  1 15 10  1  8 10  2  8
 0  0  2  6  0  2  2  4  6 10  6  4  6  2  2  0
 0  0  0 12 12 12  8  0  0  4  8  4  4  4  4  4

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

Homogenous weight enumerator: w(x)=1x^0+60x^12+302x^13+738x^14+1762x^15+2499x^16+1732x^17+732x^18+284x^19+64x^20+14x^21+2x^22+2x^23

The gray image is a code over GF(2) with n=128, k=13 and d=48.
This code was found by Heurico 1.16 in 0.172 seconds.