The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  1  0  1  2  1  1  1  1  1 12  1  1  1  1  2  1  1  1  1  1  2  1  1  0  1  0  1
 0  2 12  6  0  6 12 10  0  6 12 10  4 10  0  6  6  8 14 10  2 12 10  0 10  6  6  0  2  8 14  6 12  6 10  0  8 12  0 12  2 14  2  0  2 10
 0  0  8  0  0  0  0  8  0  0  8  0  0  8  8  8  8  8  8  8  0  8  0  0  8  0  8  8  8  0  8  0  8  8  8  0  8  8  8  8  8  8  0  8  0  0
 0  0  0  8  0  0  0  8  0  8  8  0  8  8  0  0  8  0  0  0  8  8  8  8  0  8  0  0  8  8  8  0  8  0  8  0  0  0  8  0  0  8  8  8  0  8
 0  0  0  0  8  0  0  8  8  0  0  8  0  0  8  0  8  0  0  0  0  8  8  8  8  0  8  0  8  0  8  8  0  8  0  0  0  8  8  0  8  0  8  0  8  0
 0  0  0  0  0  8  0  8  0  8  0  0  0  8  8  0  0  8  8  0  8  0  8  8  8  0  0  8  0  8  8  8  8  8  8  8  0  8  8  0  8  8  8  8  8  0
 0  0  0  0  0  0  8  8  8  0  8  8  0  0  0  8  8  0  8  0  8  0  0  8  0  8  0  8  8  0  0  0  0  8  8  0  8  8  0  8  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+86x^40+48x^41+176x^42+200x^43+387x^44+904x^45+524x^46+912x^47+387x^48+192x^49+120x^50+40x^51+88x^52+8x^53+12x^54+4x^56+4x^60+2x^64+1x^76

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 0.398 seconds.