The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+162x^36+8x^37+428x^38+248x^39+1332x^40+2040x^41+5046x^42+6904x^43+11493x^44+10248x^45+11376x^46+6952x^47+5207x^48+2024x^49+1236x^50+232x^51+428x^52+16x^53+84x^54+50x^56+6x^58+13x^60+2x^64

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 31.1 seconds.