The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+122x^37+260x^38+786x^39+769x^40+1686x^41+1030x^42+1662x^43+760x^44+730x^45+238x^46+98x^47+4x^48+18x^49+2x^50+10x^51+4x^53+6x^54+4x^55+1x^56+1x^64

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 18.8 seconds.