The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  4  2  2  1  2  2  0  4  1  1  1  1  1  2
 0 12  0  0  0  0  0  0  0 12 12  4  4  4  4  4  0 12  4  8  0  8  0  4  8 12  8 12  4  8 12 12  0  0 12  0  4  8  8 12  0  4  0  8  8  8
 0  0 12  0  0  0  4 12  4  4 12  8  4  8  8  4  0  4 12 12  4  8  8 12  8  0  4  0  0  8  0  0 12  8  0 12 12  0  0  4  8 12  4 12  4  8
 0  0  0 12  0  4  4 12  0  8 12 12 12 12  8  0 12  0  4  0  0  4  8 12  4  4  4  8  0  4  8  8 12  8  0  4  4 12  4  8  8  8  8 12  0  8
 0  0  0  0 12  4  0 12  4 12  8  4 12  8 12  0  4  4  0 12  0  0  8 12  0  4  0 12  8 12  4  8 12 12  8 12  4 12  0  4  4  0  4  8  8  8
 0  0  0  0  0  8  0  0  8  8  0  8  0  0  8  8  0  0  0  0  8  8  0  8  0  0  8  0  8  8  8  0  8  0  0  0  8  8  8  8  8  0  0  0  8  0
 0  0  0  0  0  0  8  0  8  8  8  0  0  0  8  8  0  8  0  0  0  0  8  8  8  8  0  8  0  8  8  0  0  0  0  8  0  8  8  0  0  8  8  8  8  8
 0  0  0  0  0  0  0  8  0  0  0  0  8  0  0  8  8  8  0  8  8  8  0  0  0  0  0  0  0  8  8  8  8  0  8  0  8  8  0  8  8  8  0  8  0  8

generates a code of length 46 over Z16 who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+182x^36+428x^38+788x^40+64x^41+1054x^42+832x^43+3646x^44+5248x^45+8304x^46+5248x^47+3622x^48+832x^49+1156x^50+64x^51+676x^52+404x^54+156x^56+46x^58+15x^60+1x^64+1x^76

The gray image is a code over GF(2) with n=368, k=15 and d=144.
This code was found by Heurico 1.16 in 17.1 seconds.