The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+54x^37+549x^38+1588x^39+2628x^40+3806x^41+5027x^42+5472x^43+5119x^44+4002x^45+2475x^46+1280x^47+499x^48+154x^49+61x^50+26x^51+24x^52+2x^59+1x^60

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 6.76 seconds.