The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+136x^40+180x^41+547x^42+524x^43+1057x^44+1112x^45+1210x^46+1104x^47+1059x^48+468x^49+376x^50+156x^51+158x^52+32x^53+38x^54+8x^55+18x^56+5x^58+1x^60+2x^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 0.858 seconds.