The generator matrix

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

generates a code of length 43 over Z16 who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+427x^36+1568x^37+5084x^38+10132x^39+19840x^40+29012x^41+42146x^42+44492x^43+43129x^44+30268x^45+19924x^46+9452x^47+4464x^48+1356x^49+572x^50+180x^51+72x^52+4x^53+16x^54+3x^56+2x^58

The gray image is a code over GF(2) with n=344, k=18 and d=144.
This code was found by Heurico 1.16 in 353 seconds.