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

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

Homogenous weight enumerator: w(x)=1x^0+170x^36+8x^37+448x^38+52x^39+958x^40+352x^41+1748x^42+1792x^43+4136x^44+3920x^45+5576x^46+3944x^47+4129x^48+1824x^49+1820x^50+352x^51+907x^52+40x^53+356x^54+4x^55+172x^56+32x^58+18x^60+4x^62+4x^64+1x^68

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 18.5 seconds.