The generator matrix

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

generates a code of length 47 over Z16 who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+95x^40+170x^42+72x^43+159x^44+352x^45+588x^46+1200x^47+643x^48+352x^49+124x^50+72x^51+168x^52+76x^54+21x^56+2x^58+1x^76

The gray image is a code over GF(2) with n=376, k=12 and d=160.
This code was found by Heurico 1.16 in 0.374 seconds.