The generator matrix

 1  0  1  1  1 14  2  1  1 12  1  1  1  1  6  1  1  8  1  1  1  1  4 10  1  1  8  1  1  1  1  2  1  1  4  1  1  0  8  1  1  6  2
 0  1 11  6 13  1  1 12  7  1 14  5  2  9  1  8  3  1  4 15 10  1  1  1  0  6  2  4 14  0 14  0  0  2  2  4 10  2  1  3  7  1  0
 0  0 12  0  4  4 12  0  4  0 12  8  4  8  0 12  8 12  4  8  0 12  4  0  0  8 12 12 12  0  8 12 12 12 12  8  0  8  8  0 12  8  0
 0  0  0  8  0  8  0  0  8  8  8  0  8  8  0  0  8  0  0  0  8  8  8  8  8  0  0  8  0  8  0  8  8  0  0  8  0  8  8  0  8  8  8
 0  0  0  0  8  8  0  8  0  8  0  8  8  8  8  8  0  8  0  0  8  8  0  0  8  8  0  0  0  0  0  0  8  8  0  0  0  8  0  8  8  0  8

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

Homogenous weight enumerator: w(x)=1x^0+55x^38+164x^39+319x^40+580x^41+583x^42+864x^43+477x^44+528x^45+259x^46+140x^47+74x^48+12x^49+11x^50+16x^51+3x^52+2x^54+6x^56+2x^58

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 0.175 seconds.