The generator matrix

 1  0  1  1  1  6  1 12  1  1  1  6  1  1  0  1  1  1 14  8  1  1  1 14  1  4  1  1  1  1  0  1  0  1  1  2  1  1  1  0  1  1  2  1  2  0
 0  1 11  6 13  1  7  1  8  2  1  1 11  8  1  6  5  8  1  1  3 10  5  1 14  1 12  7  4  9  1  5  1  5  0  1 13 15  8  1 10  9  1  4  6  1
 0  0 12  0  4  0  4  0  4  0  4  4  0  8  4  0  4 12  4  8  4 12  8  8  4 12  8  8 12  8  8  0  4  0  4  8  4  8 12  0  8 12 12  8 12  8
 0  0  0 12  0  0  0  8  8 12  0  4 12 12 12  8  4 12  8 12  4  4  8  4  0  0  8 12  8  8  0  0  4  0 12  4  4  0  8  4  0  4  8 12  8  8
 0  0  0  0  8  0  8  8  8  8  0  0  8  0  0  0  0  8  8  8  8  8  0  0  0  0  8  8  8  0  8  8  8  8  0  0  8  8  0  0  0  8  0  8  8  8
 0  0  0  0  0  8  8  0  0  0  8  8  8  8  0  8  0  8  8  0  8  0  8  0  0  8  8  0  8  0  8  0  0  8  0  8  8  0  0  0  0  0  0  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+185x^40+260x^41+762x^42+980x^43+2027x^44+2608x^45+2842x^46+2536x^47+2023x^48+1092x^49+650x^50+196x^51+118x^52+8x^53+54x^54+23x^56+12x^58+7x^60

The gray image is a code over GF(2) with n=368, k=14 and d=160.
This code was found by Heurico 1.16 in 2.43 seconds.