The generator matrix

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

generates a code of length 42 over Z16 who´s minimum homogenous weight is 37.

Homogenous weight enumerator: w(x)=1x^0+312x^37+642x^38+1436x^39+1895x^40+2822x^41+2462x^42+2732x^43+1790x^44+1262x^45+534x^46+308x^47+67x^48+82x^49+26x^50+4x^51+6x^52+2x^53+1x^56

The gray image is a code over GF(2) with n=336, k=14 and d=148.
This code was found by Heurico 1.16 in 32 seconds.