The generator matrix

 1  0  0  1  1  1 10  2 14  1  1  1 14  1 10  4  1  1  1  4  1  1 12  1 10  1  1 12  4  1  2 12  1 14  8  1  1  1 14  1 10  1
 0  1  0  0  5  5  1  2  1  9 14 12  1 11  8  1 10 15  1  1  6  3 14 14  1 12  4  1  1  7  1  4  7  1  1  9  2 13  1 10  1  0
 0  0  1  3 11  8  3  1  2  6  7 10  1 15  1  2 12  2  1  9  1  0  1 10  2  1  6  6 11  2  8  1 12  5 15  8  4  3 10 13  0  6
 0  0  0  8  8  0  8  8  8  8  0  8  0  0  0  8  0  8  8  0  0  8  0  8  0  0  0  0  8  0  8  8  0  8  0  8  8  0  0  8  0  0

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

Homogenous weight enumerator: w(x)=1x^0+243x^38+814x^39+1254x^40+1318x^41+1573x^42+958x^43+765x^44+670x^45+369x^46+112x^47+75x^48+28x^49+7x^50+4x^51+1x^52

The gray image is a code over GF(2) with n=336, k=13 and d=152.
This code was found by Heurico 1.16 in 0.474 seconds.