The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  1  1  0  6  1  1  1  1 12 10  1  1  1  1  1  0  1  1 12  1  1  1  6 10  1  1  6 10  1  6  1  1  1  1
 0  1  3  6  5  1 12  7  1 10  9  1  0  3  1  1  6  5 10 15  1  1 12  9  0  6  0  1 10  3  1  3 15 15  1  1  6  6  1  1  3  1  5 10  3  0
 0  0  8  0  0  0  0  0  0  0  0  0  0  8  8  8  8  8  8  8  8  0  8  8  0  8  0  8  0  8  0  0  0  8  0  8  8  8  0  0  8  0  8  0  0  0
 0  0  0  8  0  0  0  0  0  0  8  8  8  8  8  0  8  0  8  8  0  8  8  0  0  0  8  8  8  0  0  0  8  0  8  0  8  8  0  0  8  8  0  8  8  0
 0  0  0  0  8  0  0  0  0  8  8  8  0  8  0  8  8  0  0  0  8  8  0  8  8  8  8  8  0  0  8  0  8  0  8  0  8  0  0  8  0  8  0  8  0  0
 0  0  0  0  0  8  0  0  8  8  0  8  0  0  0  0  0  8  8  8  8  8  8  8  0  8  0  8  0  0  8  0  0  8  8  0  0  0  8  8  0  0  8  8  0  0
 0  0  0  0  0  0  8  0  8  0  0  8  8  0  0  8  8  0  8  0  0  0  8  8  8  8  8  0  0  8  0  8  0  8  0  8  0  0  8  8  0  8  0  0  0  8
 0  0  0  0  0  0  0  8  8  8  8  0  0  0  8  8  0  8  8  0  0  8  0  8  0  0  0  0  8  0  8  8  0  8  0  8  0  8  0  8  0  8  0  0  0  8

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

Homogenous weight enumerator: w(x)=1x^0+28x^38+38x^39+113x^40+314x^41+470x^42+1262x^43+1817x^44+2738x^45+2861x^46+2738x^47+1801x^48+1262x^49+453x^50+314x^51+90x^52+38x^53+18x^54+11x^56+4x^58+5x^60+5x^62+2x^64+1x^66

The gray image is a code over GF(2) with n=368, k=14 and d=152.
This code was found by Heurico 1.16 in 2.22 seconds.