The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  2 12  8  1  2  1  4  1  0  1  8 12  1  1  2  1  1  0  2  2  1
 0  2  0  0  8 10  6  6  8 10  0 14  0 10  2 12  4  2  4 14 14  4  0  8  4 10  8  2  6  8  4  2  2 12  4  8  2  2  2  8  2  6
 0  0  2  0 10 10 10  8  0 10  8  2 14  0 12 10 12 12  4  2 14  2  2 12 14  8  6  0  2  2  0 10 12  2  2 10 14  2  2 10 12  8
 0  0  0  2  2  8 10  2  4  4  6  6 14  6 12  4  4  2 10  0  2  0 14  2  6  8  0 10  4  2 14 14 10 14  8  2  8 14 10 14 10  4

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

Homogenous weight enumerator: w(x)=1x^0+224x^37+487x^38+708x^39+998x^40+1098x^41+1238x^42+1264x^43+958x^44+532x^45+261x^46+212x^47+117x^48+50x^49+25x^50+8x^51+6x^52+4x^54+1x^58

The gray image is a code over GF(2) with n=336, k=13 and d=148.
This code was found by Heurico 1.16 in 0.739 seconds.