The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+37x^36+120x^37+158x^38+264x^39+234x^40+1024x^41+448x^42+1024x^43+217x^44+264x^45+145x^46+120x^47+16x^48+10x^50+6x^52+5x^54+1x^56+1x^58+1x^66

The gray image is a code over GF(2) with n=336, k=12 and d=144.
This code was found by Heurico 1.16 in 0.25 seconds.