The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+181x^40+72x^41+522x^42+328x^43+1111x^44+1136x^45+1604x^46+1136x^47+1041x^48+328x^49+448x^50+72x^51+130x^52+44x^54+24x^56+6x^58+7x^60+1x^72

The gray image is a code over GF(2) with n=368, k=13 and d=160.
This code was found by Heurico 1.16 in 1.11 seconds.