The generator matrix

 1  0  1  1  1  6  1  1 12  1 10  1  1  1  1  0  1  1  1  6  1 12  1  1 10  1  1  1  1  1  1  1  1  1  1  1  0  0  2  2 10  1
 0  1  3  6  5  1 12 15  1  9  1 10  6  0  3  1 12  5 10  1 15  1  6  9  1  0 12 12 10 10  0  6  0 10 12  3  1  2  0  8  1 15
 0  0  8  0  0  0  0  0  8  8  8  0  0  8  0  0  8  8  8  0  0  8  8  8  8  0  8  8  0  0  0  8  0  0  8  0  8  0  8  8  8  8
 0  0  0  8  0  0  8  0  0  8  8  0  8  8  8  8  8  8  0  8  8  8  0  0  0  8  8  0  0  8  0  8  0  0  8  8  8  0  0  8  8  0
 0  0  0  0  8  0  8  8  8  0  8  0  0  8  8  0  8  0  8  0  8  8  8  0  8  0  0  8  8  8  0  8  8  0  0  0  0  8  0  0  0  8
 0  0  0  0  0  8  0  8  0  8  8  8  8  8  0  8  0  0  0  0  8  0  8  8  8  8  8  0  8  8  8  0  0  0  0  0  0  8  8  0  8  0

generates a code of length 42 over Z16 who´s minimum homogenous weight is 37.

Homogenous weight enumerator: w(x)=1x^0+98x^37+154x^38+274x^39+494x^40+630x^41+766x^42+686x^43+500x^44+286x^45+98x^46+62x^47+28x^48+10x^49+4x^50+2x^51+2x^58+1x^64

The gray image is a code over GF(2) with n=336, k=12 and d=148.
This code was found by Heurico 1.16 in 71.6 seconds.