The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+124x^37+305x^38+704x^39+1134x^40+1296x^41+1299x^42+1182x^43+1045x^44+624x^45+240x^46+112x^47+55x^48+36x^49+11x^50+18x^51+5x^52+1x^54

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 0.594 seconds.