The generator matrix

 1  0  1  1  1 14  1  1  6  1  8  1  1  1  4  1 10  1  1  1 12  1  1  1  1  1  1  6  1  1  2  1  1  1 10  1  0  1 14  1  2  1  1  1  1
 0  1 11 14  5  1  0  3  1  6  1  9 13  4  1 10  1  7 15 12  1  1  2  8  6  5  0  1 11  4  1 14  3  7  1  3  1  0  1  4 12 13  8  8  0
 0  0 12  4  0  4 12  0  8  8 12  0  4  4 12  0  8  4  0  0  0  4 12 12  0  0  8  8 12 12 12 12  8 12  0  8  8  0 12  4 12 12  4  4  0
 0  0  0  8  0  0  0  0  8  0  0  8  0  8  0  8  8  8  8  8  8  0  0  8  8  0  0  0  0  0  0  0  0  8  8  8  0  8  0  8  0  8  0  8  0
 0  0  0  0  8  0  0  0  0  8  8  0  8  8  8  8  8  8  0  8  0  0  8  0  8  0  0  0  8  8  0  0  0  8  8  0  0  8  8  8  0  0  8  0  0
 0  0  0  0  0  8  0  0  0  0  8  0  0  0  8  0  0  8  8  8  8  0  8  8  8  8  0  8  0  8  0  0  8  8  8  8  0  0  8  8  8  8  8  0  0
 0  0  0  0  0  0  8  0  8  0  0  8  8  8  8  0  0  8  0  8  8  0  8  0  0  0  8  8  0  0  0  8  0  0  8  8  8  0  0  0  8  8  0  8  0
 0  0  0  0  0  0  0  8  0  8  8  8  8  8  8  8  8  8  8  0  8  8  0  8  0  8  8  8  0  8  0  8  0  8  8  8  8  0  0  8  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+24x^36+72x^37+145x^38+360x^39+338x^40+1150x^41+2599x^42+3172x^43+6066x^44+4780x^45+6253x^46+3324x^47+2453x^48+1072x^49+436x^50+284x^51+62x^52+92x^53+33x^54+28x^55+6x^56+2x^57+5x^58+8x^60+1x^62+2x^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 8.18 seconds.