The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+58x^37+213x^38+292x^39+565x^40+578x^41+828x^42+584x^43+476x^44+166x^45+149x^46+80x^47+60x^48+28x^49+9x^50+4x^51+2x^52+2x^57+1x^66

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 0.268 seconds.