The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+91x^38+40x^39+334x^40+368x^41+1653x^42+1752x^43+4788x^44+4000x^45+6813x^46+3992x^47+4823x^48+1712x^49+1552x^50+360x^51+246x^52+64x^53+115x^54+42x^56+11x^58+6x^60+5x^62

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 9.27 seconds.