The generator matrix

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

generates a code of length 42 over Z16 who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+182x^38+24x^39+258x^40+360x^41+428x^42+360x^43+247x^44+24x^45+138x^46+4x^48+16x^50+1x^52+4x^54+1x^72

The gray image is a code over GF(2) with n=336, k=11 and d=152.
This code was found by Heurico 1.16 in 1.71 seconds.