The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+48x^37+219x^38+570x^39+628x^40+932x^41+1112x^42+1364x^43+1092x^44+872x^45+536x^46+404x^47+183x^48+124x^49+52x^50+28x^51+16x^52+8x^53+1x^54+2x^55

The gray image is a code over GF(2) with n=344, k=13 and d=148.
This code was found by Heurico 1.16 in 0.82 seconds.