The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+79x^32+74x^34+96x^35+323x^36+480x^37+1060x^38+1952x^39+4574x^40+4128x^41+7256x^42+4128x^43+4585x^44+1952x^45+1020x^46+480x^47+340x^48+96x^49+62x^50+49x^52+30x^56+3x^60

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 6.93 seconds.