The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  4  1  2  2  2  4  4  2  4  1  2  1
 0 12  0  0  0  0  0  0  0  0  0 12 12 12  4 12 12  8 12  8  4 12  4 12  0  0  8  8 12  8 12 12  8  4  0  8 12  8  8  8  4  0
 0  0 12  0  0  0  0  0  0  0  4  0  4  4  4 12  8  4  8  4  0  4  8 12 12  8  8  0  4  4 12  8  8 12 12 12 12  4 12  4  4  0
 0  0  0 12  0  0  0  4 12 12  4 12  0  8 12 12  0  0  4 12 12 12  8  0  8  0 12  4  8  0  8  8  4  0 12 12 12  8  8  8  8  0
 0  0  0  0 12  0  4  4  4  0  8  8  8  0  8  0  8  4  4 12 12  4  4 12  4  4 12  4  0  0  8  4 12  8  0  4 12  4 12  8  4  0
 0  0  0  0  0 12  4  8  4  4  0  0  0 12  4  8  4  0  8  0 12 12  8  8  4 12 12  8  4 12 12  4  0  8  4  4 12 12  0  4 12  0
 0  0  0  0  0  0  8  8  0  8  8  8  8  0  8  0  8  8  0  0  8  8  0  8  8  0  8  0  8  0  0  0  8  0  0  0  0  0  0  0  8  0

generates a code of length 42 over Z16 who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+90x^32+104x^33+263x^34+320x^35+396x^36+418x^37+1097x^38+1060x^39+4190x^40+4220x^41+8319x^42+4294x^43+4330x^44+1084x^45+1109x^46+402x^47+360x^48+228x^49+197x^50+122x^51+101x^52+26x^53+22x^54+10x^55+3x^56+1x^60+1x^66

The gray image is a code over GF(2) with n=336, k=15 and d=128.
This code was found by Heurico 1.16 in 14.8 seconds.