The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+155x^40+784x^41+1281x^42+2794x^43+3167x^44+6126x^45+4493x^46+5968x^47+3077x^48+2730x^49+1111x^50+692x^51+240x^52+82x^53+23x^54+16x^55+15x^56+6x^57+4x^58+2x^59+1x^60

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 6.54 seconds.