The generator matrix

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

generates a code of length 45 over Z16 who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+169x^36+36x^37+312x^38+328x^39+927x^40+1128x^41+2268x^42+3752x^43+4542x^44+5872x^45+4472x^46+3800x^47+2370x^48+1112x^49+800x^50+312x^51+381x^52+44x^53+80x^54+43x^56+4x^58+12x^60+3x^64

The gray image is a code over GF(2) with n=360, k=15 and d=144.
This code was found by Heurico 1.16 in 13.5 seconds.