The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  0  2 12  2  1  1  8  1  1  1  2  1  1  1  1  8  2  1  1  2  1  1  2  1  2  2
 0  2  0  6  4  6 12  2  8  0  6  6  4  4  2 10  2  6  2 10  6 10  2 12 10 12  6  6  8  0 10  2  6 14  0  6  2  4 14 10  8  8
 0  0 12  0  4  0  0  0  8  4  4 12  8 12  4  4  4 12 12 12  8  4  4  4  8  0  0 12  4  4 12 12  8 12  0 12  0  8  8  0  4 12
 0  0  0 12  0  0  8 12 12 12 12  8  4 12  0  4 12  4 12  4  8 12  8  4 12  8  0  8  8  4  0  8  8  0 12 12  8 12 12  4  8  4
 0  0  0  0  8  0  8  8  0  0  8  0  8  8  0  0  8  0  0  8  8  0  0  8  8  0  8  8  8  0  8  0  0  8  8  8  8  0  8  0  8  8
 0  0  0  0  0  8  0  0  0  0  8  8  0  0  0  8  8  8  0  0  8  0  0  8  8  8  0  0  0  8  8  0  8  8  8  8  0  0  8  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+141x^36+212x^37+312x^38+524x^39+706x^40+1856x^41+842x^42+1752x^43+643x^44+596x^45+272x^46+156x^47+85x^48+24x^49+36x^50+23x^52+8x^54+2x^58+1x^60

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 0.936 seconds.