The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+83x^40+690x^41+1516x^42+2762x^43+3644x^44+5344x^45+5087x^46+5242x^47+3433x^48+2640x^49+1335x^50+622x^51+208x^52+88x^53+45x^54+14x^55+7x^56+6x^57+1x^58

The gray image is a code over GF(2) with n=368, k=15 and d=160.
This code was found by Heurico 1.16 in 7.69 seconds.