The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+82x^37+254x^38+826x^39+1033x^40+1384x^41+1212x^42+1386x^43+940x^44+624x^45+222x^46+138x^47+34x^48+20x^49+8x^50+18x^51+7x^52+2x^53+1x^60

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 0.518 seconds.