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  2  2  1  1  2  1  2  1  1  2  1  1  1  1  2  1  2  2  1  1
 0  8  0  0  0  0  0  0  0  0  0  8  0  0  8  8  0  0  0  0  8  8  8  0  8  8  8  8  8  8  0  8  8  0  8  8  8  8  0  0  0  0  0  0  8
 0  0  8  0  0  0  0  0  0  0  0  8  8  8  8  8  0  0  0  8  8  0  0  8  0  8  0  0  8  0  0  0  8  8  0  0  8  8  0  8  8  0  8  0  0
 0  0  0  8  0  0  0  0  0  0  8  0  8  8  0  8  8  0  8  0  8  8  8  8  8  0  8  8  8  0  8  0  0  0  8  8  8  8  8  0  0  8  8  8  0
 0  0  0  0  8  0  0  0  0  0  8  0  0  8  8  8  8  8  0  8  0  0  0  0  0  0  8  0  8  0  8  0  8  0  8  8  0  8  8  8  0  8  8  0  8
 0  0  0  0  0  8  0  0  0  8  0  0  0  8  8  0  8  0  8  8  8  0  0  8  8  8  8  0  8  8  8  8  0  0  8  0  0  8  0  0  8  0  0  8  0
 0  0  0  0  0  0  8  0  0  8  0  0  8  0  0  8  8  8  0  8  8  0  8  0  8  8  0  0  8  0  8  8  8  8  0  0  0  0  8  0  0  0  0  8  0
 0  0  0  0  0  0  0  8  0  8  8  8  8  0  0  0  0  0  8  8  8  8  8  8  0  8  8  8  8  8  8  8  0  8  0  0  8  0  0  0  0  8  0  8  0
 0  0  0  0  0  0  0  0  8  8  8  8  0  0  8  8  8  0  0  0  8  0  0  8  0  0  0  8  0  8  8  0  0  0  8  0  8  0  0  8  8  8  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+67x^36+10x^38+167x^40+80x^42+223x^44+3072x^45+132x^46+182x^48+32x^50+81x^52+2x^54+32x^56+13x^60+1x^64+1x^72

The gray image is a code over GF(2) with n=360, k=12 and d=144.
This code was found by Heurico 1.16 in 0.375 seconds.