The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  4  1  1  1  1  1  2  2  1  4  1
 0 12  0  4  0  8 12 12  0  8  4 12  0  0 12 12  0  8 12  4  8  4  0 12  8  8  0  4  4 12  0  8 12  8  4  8  4  0  0  8  0 12
 0  0 12  4  0  4  4  8  0  4  4  0  0 12  4  8  8  8  0  0  4 12  4 12 12  8  8 12  8 12  4  0  0 12  8  4  0 12 12 12 12  8
 0  0  0  8  0  0  8  0  8  8  0  8  8  8  0  8  8  0  0  8  0  8  8  0  0  8  0  8  0  0  8  0  8  8  8  8  8  0  0  0  8  0
 0  0  0  0  8  8  8  8  8  8  0  8  0  0  8  0  0  0  8  8  0  0  8  0  8  8  8  8  0  8  0  0  0  8  8  0  0  0  8  0  0  0

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

Homogenous weight enumerator: w(x)=1x^0+18x^38+60x^39+77x^40+196x^41+365x^42+184x^43+49x^44+36x^45+28x^47+4x^49+1x^50+4x^53+1x^76

The gray image is a code over GF(2) with n=336, k=10 and d=152.
This code was found by Heurico 1.16 in 0.0585 seconds.