The generator matrix

 1  0  0  0  1  1  1  2 14  1  1  1  8  1 12  0 12  1  2  1  1  1  1  1 14  1  1 14 12  1  1  1  4  8  6  1  1  1  2  1  1  8  0  1  1  1
 0  1  0  0  8  1  9  1  1  0  9  4  1  5 14  1  2 14  1 11  9  7 10  2 12 12 14  2 10 11  8  0  1  1  1  1  7  5  1  5  8  1  1  9  3  4
 0  0  1  0  9  1  8  9  8  7 15 10 11  2  1  2  1 11 15 13  5  4  5  2  1  8  5  1 12  7 10  1 15 14  6  2 10  7 13 12 14  5  3  9  5  4
 0  0  0  1  1  8  9  9  3  2  7  3  2  6  5  5  7  8  5  3  2  4 15 12  6  7 13  4  1  5 14 10 12  4  3  9 10  8  4  2  0  7 13 11  0  8

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

Homogenous weight enumerator: w(x)=1x^0+292x^40+1468x^41+3128x^42+5138x^43+7622x^44+9984x^45+10221x^46+10116x^47+8131x^48+5002x^49+2402x^50+1272x^51+522x^52+152x^53+49x^54+16x^55+16x^56+2x^57+2x^59

The gray image is a code over GF(2) with n=368, k=16 and d=160.
This code was found by Heurico 1.16 in 25.8 seconds.