The generator matrix

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

generates a code of length 43 over Z16 who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+79x^38+194x^39+269x^40+402x^41+859x^42+686x^43+766x^44+308x^45+221x^46+142x^47+61x^48+42x^49+41x^50+18x^51+6x^52+1x^72

The gray image is a code over GF(2) with n=344, k=12 and d=152.
This code was found by Heurico 1.16 in 0.284 seconds.