The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  1  1  1  1  1  1  0  1  1  8  1  2  1  1  1  1  1  2  1  1  1  1  1  1
 0  2  0  6  4 14 12  2  4  6  0  6  8 10  4  2  6 14  0  6 12 10 14  8  2  4  2  2  0  0  4 14 12  8 10  8  2  6  2  4 12 10
 0  0 12  0  4  4  8  4  4  0  8 12  4  4  8  8  0  4  0  0  8  8  4 12  0 12 12  4  8 12  0  4 12  8  4  4  0  4 12  4  8  8
 0  0  0  8  0  0  8  8  8  0  8  8  8  0  0  8  8  8  0  8  8  0  0  0  0  8  8  8  0  8  8  8  0  8  0  0  0  8  0  8  0  8
 0  0  0  0  8  0  0  0  0  8  8  8  8  8  8  8  8  8  8  8  8  8  8  8  8  8  8  8  8  0  0  8  8  0  0  8  8  0  8  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+161x^38+321x^40+256x^41+640x^42+256x^43+240x^44+134x^46+13x^48+24x^50+1x^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 1.24 seconds.