The generator matrix

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

generates a code of length 46 over Z16 who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+78x^38+634x^39+2098x^40+5504x^41+10230x^42+20332x^43+28852x^44+40968x^45+43137x^46+42854x^47+29595x^48+20122x^49+9871x^50+4974x^51+1836x^52+726x^53+193x^54+64x^55+46x^56+6x^57+11x^58+6x^59+4x^60+2x^61

The gray image is a code over GF(2) with n=368, k=18 and d=152.
This code was found by Heurico 1.16 in 394 seconds.