The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  0  1  1  6  1  1 12  1 10  1  0  1  1  1  1  1  1  6  1  1  1  1  1  1 12 10  6  1  1  0  1  0  1
 0  1  3  6  5  1 12  7  1 10  9  1  1  0  5  1  6  3  1 15  1 12  1  9 10  6  0  3  5  1 12 15  9 10  5  3  1  1  1  0  3  1  6  1  0
 0  0  8  0  0  0  0  0  0  0  0  0  0  0  8  0  0  0  8  8  8  8  8  8  0  8  8  8  0  8  8  8  8  0  8  8  8  8  8  8  0  0  8  8  8
 0  0  0  8  0  0  0  0  0  0  0  0  0  8  0  8  0  8  0  0  8  8  8  8  8  0  8  0  8  0  8  0  0  8  0  8  0  8  0  8  8  8  8  0  8
 0  0  0  0  8  0  0  0  0  0  0  8  8  0  8  8  8  8  8  0  0  0  0  8  0  0  8  0  8  8  0  8  8  8  8  8  0  0  8  8  0  8  8  8  0
 0  0  0  0  0  8  0  0  0  0  8  8  8  0  8  0  0  8  8  8  0  8  8  0  0  8  8  0  0  0  0  0  8  0  0  8  8  0  8  0  8  8  8  8  0
 0  0  0  0  0  0  8  0  0  8  8  0  0  8  8  0  0  8  8  0  8  0  0  8  0  8  8  0  8  0  0  8  8  0  0  0  0  8  0  0  8  0  8  8  0
 0  0  0  0  0  0  0  8  0  8  0  0  0  0  0  0  8  8  0  8  0  8  0  8  8  8  0  8  0  8  0  0  8  0  0  8  0  8  8  0  8  8  8  0  0
 0  0  0  0  0  0  0  0  8  0  8  8  0  0  8  8  8  8  0  8  8  0  8  8  8  8  8  8  0  0  0  8  8  8  0  8  0  0  0  0  0  0  0  8  0

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

Homogenous weight enumerator: w(x)=1x^0+82x^36+12x^37+106x^38+80x^39+669x^40+688x^41+3232x^42+2224x^43+7733x^44+3208x^45+7636x^46+2224x^47+3324x^48+688x^49+528x^50+80x^51+164x^52+12x^53+18x^54+37x^56+21x^60+1x^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 8.09 seconds.