The generator matrix

 1  0  1  1  1  6  1 10  1  1 12  1  1  8  1  2  1  1  1  1  1  1  1 14  1  1  0  2 12  1  0  1  0  1  2  4  2  6  1  1  6 10  1  1  2  1
 0  1 11  6 13  1  2  1 11 12  1 13  8  1  5  1 15  6  9 10  8  2 13  1 15 14  1  1  1  3  1 13  1 14  1  1  1  1  3  8  1  1 15 15 14  0
 0  0 12  0  4  4  8  4  0  8  0  0  4  0 12  4  8  4 12  4  8  8  0 12 12  4 12  8 12  4 12  8  8 12  0  4 12  8  0  0  8  0  8  8  8  0
 0  0  0 12  0  4  4 12  4  0  0  4  8  4 12  8  8 12  4 12  4 12  8  8 12  8 12  4  4  4  8 12  4  8  4  8 12  8  8 12  0  8  0  8  4  0
 0  0  0  0  8  0  8  8  0  8  8  8  8  0  8  0  0  0  0  8  8  0  8  0  8  0  8  8  8  0  8  0  8  0  0  8  8  8  8  0  0  0  0  8  0  0

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

Homogenous weight enumerator: w(x)=1x^0+43x^40+170x^41+263x^42+832x^43+823x^44+1488x^45+1109x^46+1354x^47+792x^48+858x^49+239x^50+132x^51+31x^52+22x^53+16x^54+2x^55+5x^56+4x^57+2x^61+5x^62+1x^64

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 0.608 seconds.