The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+176x^37+1366x^38+2816x^39+5215x^40+7590x^41+9732x^42+11570x^43+10216x^44+7656x^45+5078x^46+2446x^47+1150x^48+352x^49+100x^50+30x^51+34x^52+4x^54+2x^55+2x^57

The gray image is a code over GF(2) with n=344, k=16 and d=148.
This code was found by Heurico 1.16 in 22.8 seconds.