The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+108x^12+382x^13+886x^14+1650x^15+2147x^16+1716x^17+804x^18+332x^19+144x^20+14x^21+6x^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 0.174 seconds.