The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  1  1  2  1  2  2  2  1  1  2  2  2  1  1  2  1  1  2  2
 0  8  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  8  8  8  8  8  8  8  8  8  8  8  0  0  8  8  8  8
 0  0  8  0  0  0  0  0  0  0  0  0  0  0  0  8  0  0  0  0  0  0  0  8  8  0  8  8  0  8  0  8  8  0  8  8  8  0  0  8  8  0  8  8  0
 0  0  0  8  0  0  0  0  0  0  0  0  0  0  0  8  0  0  0  0  8  8  8  8  8  8  0  0  8  8  8  8  0  8  0  8  0  0  0  8  0  0  0  8  0
 0  0  0  0  8  0  0  0  0  0  0  0  0  0  8  0  0  0  8  8  8  8  8  8  8  8  8  8  0  0  0  8  0  8  0  0  8  8  0  8  8  0  0  0  0
 0  0  0  0  0  8  0  0  0  0  0  0  0  0  8  0  8  8  8  8  8  8  8  0  8  0  0  0  8  0  8  0  0  8  8  0  0  8  8  8  0  8  0  0  0
 0  0  0  0  0  0  8  0  0  0  0  0  0  8  0  0  8  8  0  8  8  0  0  8  8  0  0  0  0  8  8  8  0  8  8  8  0  0  8  8  8  8  8  8  0
 0  0  0  0  0  0  0  8  0  0  0  0  0  8  0  0  0  8  8  8  8  0  8  8  0  8  0  8  8  0  8  0  0  8  0  8  0  8  8  0  8  0  0  0  8
 0  0  0  0  0  0  0  0  8  0  0  0  8  0  0  0  0  8  8  0  8  0  0  0  8  8  8  0  0  0  8  8  8  8  8  0  0  8  0  0  0  8  8  0  0
 0  0  0  0  0  0  0  0  0  8  0  0  8  0  0  0  8  0  0  8  0  8  0  0  8  0  8  8  8  8  8  0  0  0  8  0  0  0  0  8  8  0  8  0  8
 0  0  0  0  0  0  0  0  0  0  8  0  8  8  8  8  8  0  0  0  8  0  8  0  8  0  8  0  8  8  0  0  0  0  0  8  0  0  8  0  8  8  0  0  0
 0  0  0  0  0  0  0  0  0  0  0  8  8  8  8  8  0  0  8  8  8  8  0  8  8  0  0  8  8  0  0  0  0  0  0  0  8  0  0  0  0  8  8  0  0

generates a code of length 45 over Z16 who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+208x^32+4x^34+494x^36+100x^38+999x^40+680x^42+1795x^44+24576x^45+904x^46+1581x^48+340x^50+723x^52+20x^54+267x^56+57x^60+14x^64+3x^68+2x^72

The gray image is a code over GF(2) with n=360, k=15 and d=128.
This code was found by Heurico 1.16 in 27.7 seconds.