The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  0  8  2  4  0  2  2  1  1  1  1  8  8  1  1  1  0  1  2  2  1 12  1  1  2
 0  2  0  2  0  0  2 10  8  0  6  6  4  2 14 12  6 12 10 12  6  0  2  2  2  0  8  6  4 10 12  2  2  2 12  8 10  2  6  8 14 12 12  4  6 12
 0  0  2  2  0  6 10  8  6  4  6 12 12 12 10  2  8 12  6  6  4  2 12 10 10  2  2  4  8  8  6 14 12  6 12  2  8 12 10 10 12  0  2  6  8  2
 0  0  0  4  0  0  4  0  0  0 12  0  0  0  4  8  8  0 12  8  8  8  8  0  0  4  8  0 12  4  4  8 12 12 12  4  4  4  4  0  0  4  8 12 12  4
 0  0  0  0 12  0 12  4  4  4 12  4  8  0  8 12  4  4  4  0  8  0  8  0  8  4  0 12  0 12 12 12  4  0  8  0  4  8  8  8  0  4  4  0  0  0
 0  0  0  0  0  8  0  0  8  8  8  8  8  8  8  0  0  0  8  0  0  0  8  8  0  0  8  0  0  8  0  8  0  0  8  8  0  0  0  8  0  0  8  0  8  8

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

Homogenous weight enumerator: w(x)=1x^0+126x^38+176x^39+620x^40+732x^41+1554x^42+2156x^43+3458x^44+4624x^45+5872x^46+4480x^47+3642x^48+2428x^49+1398x^50+588x^51+540x^52+152x^53+120x^54+24x^55+56x^56+16x^58+2x^60+2x^62+1x^64

The gray image is a code over GF(2) with n=368, k=15 and d=152.
This code was found by Heurico 1.16 in 12.5 seconds.