The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+153x^36+168x^37+460x^38+536x^39+987x^40+1056x^41+1492x^42+1168x^43+951x^44+488x^45+388x^46+152x^47+92x^48+16x^49+52x^50+20x^52+8x^54+4x^56

The gray image is a code over GF(2) with n=336, k=13 and d=144.
This code was found by Heurico 1.16 in 0.981 seconds.