The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+92x^37+563x^38+1382x^39+2853x^40+3436x^41+5521x^42+5050x^43+5782x^44+3576x^45+2536x^46+1100x^47+590x^48+164x^49+45x^50+34x^51+20x^52+12x^53+7x^54+2x^55+2x^56

The gray image is a code over GF(2) with n=344, k=15 and d=148.
This code was found by Heurico 1.16 in 6.12 seconds.