The generator matrix

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

generates a code of length 46 over Z16 who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+197x^40+44x^41+100x^42+160x^43+712x^44+300x^45+1084x^46+320x^47+724x^48+164x^49+60x^50+32x^51+136x^52+4x^53+36x^54+18x^56+3x^64+1x^72

The gray image is a code over GF(2) with n=368, k=12 and d=160.
This code was found by Heurico 1.16 in 34.9 seconds.