The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  2  1  2  1  1  1  2  1  2  1  1  2  1  2  1  1  1  1  4  1  1
 0 12  0  0  0  0  0  0  0  4 12 12  4 12  4 12  8 12  8  8 12  4  8  4  4  4  0  8 12  4 12  8  0  0  0  8  0  0 12  4  4 12  8
 0  0 12  0  0  8 12 12  4  4  4  8  4 12  0  8 12  8 12  8  0 12  0  0  4  8 12  0 12 12  8  4  8  8  0  4  0  0  4  8  4  0  4
 0  0  0 12  0 12 12  4  8  0  0  0  4 12 12 12  8  8  4  8  0  4 12 12 12  0 12  0  8  8  4  0  4  4  4  8 12  8  4 12  8  8  4
 0  0  0  0 12  4  8  4  4  0  4  4 12  8  0 12  8 12 12  0  8  8  4  8  4  8  0 12 12 12  4  0  0  8  4  8 12 12  4  0  8  0 12

generates a code of length 43 over Z16 who´s minimum homogenous weight is 37.

Homogenous weight enumerator: w(x)=1x^0+64x^37+129x^38+142x^39+129x^40+198x^41+790x^42+1280x^43+761x^44+194x^45+154x^46+88x^47+24x^48+42x^49+34x^50+24x^51+11x^52+14x^53+12x^54+2x^55+2x^56+1x^70

The gray image is a code over GF(2) with n=344, k=12 and d=148.
This code was found by Heurico 1.16 in 92.6 seconds.