The generator matrix

 1  0  0  0  1  1  1  2 14  1  1  1  1 12  6  1  1  8  2  0  1  1  1  1  1  6  6 14  1  1  1 12  1  1  8  4 10  0 10  6  1  1
 0  1  0  0  8  1  9  1  1  2 11  6  7 10  1 10 12  1  1  1  4 11  7  7 13  2 12  1  4  2  9  1 14  4  0  1  1  1 10  1  6  0
 0  0  1  0  9  1  8  5  8  4 12 13  7  1 11  6 13 11 15  6 15  5  2  0 11  1  1  6  2  7 10 11 12  4  2  8 10  9 10 12  9  8
 0  0  0  1  1  8  9  9  3  5  4  0  9  7  4  5  7 10  5 11 10 14  0  3  3  6  5  9  5  6  8 12 10 11  1 14 12  4  1 14 13  0

generates a code of length 42 over Z16 who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+140x^36+1324x^37+2638x^38+5224x^39+7831x^40+9928x^41+11233x^42+10334x^43+7923x^44+5084x^45+2266x^46+1114x^47+320x^48+124x^49+29x^50+14x^51+1x^52+4x^53+2x^54+2x^55

The gray image is a code over GF(2) with n=336, k=16 and d=144.
This code was found by Heurico 1.16 in 22.9 seconds.