The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+41x^32+50x^33+121x^34+200x^35+471x^36+644x^37+1334x^38+2676x^39+3126x^40+5640x^41+4164x^42+5668x^43+3118x^44+2668x^45+1412x^46+636x^47+346x^48+198x^49+121x^50+36x^51+51x^52+16x^53+14x^54+14x^56+2x^58

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 11.4 seconds.