The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+52x^36+92x^37+309x^38+604x^39+1479x^40+2486x^41+4792x^42+7508x^43+9201x^44+12320x^45+9319x^46+7708x^47+4871x^48+2420x^49+1356x^50+540x^51+242x^52+84x^53+79x^54+24x^55+25x^56+6x^57+12x^58+1x^60+5x^62

The gray image is a code over GF(2) with n=360, k=16 and d=144.
This code was found by Heurico 1.16 in 29 seconds.