The generator matrix

 1  0  0  1  1  1  2  1  1  8 12  1  1  1  1  1
 0  1  0  4  5  7  1  2  7  1  6  3  4 15  8  8
 0  0  1  7  3  2  1  1  4  2  1  5  2  3  4  8
 0  0  0  8  0  0  0  8  0  8  8  8  8  8  8  8
 0  0  0  0  8  0  0  8  8  8  0  0  8  8  0  0

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

Homogenous weight enumerator: w(x)=1x^0+124x^12+574x^13+1244x^14+3912x^15+4689x^16+3904x^17+1252x^18+564x^19+96x^20+2x^21+16x^22+4x^23+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 0.348 seconds.