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  1  1  1  1  1  1  1  1  1  1  X  X  1  X  1  X  1  1  1  X  1  1
 0  2  0  0  0  0  0  0  0  0  0  0  0  0  2  0  0  0  0  0  0  0  0  0  2  2  2  2  2  2  2  0  2  0  2  2  0  2  2  0  2  0  2  0  0
 0  0  2  0  0  0  0  0  0  0  0  0  0  0  2  0  0  0  0  2  2  2  2  2  2  2  0  0  0  2  2  0  2  0  0  0  2  0  2  2  2  2  2  0  0
 0  0  0  2  0  0  0  0  0  0  0  0  0  2  0  0  0  2  2  2  2  2  2  0  0  0  0  2  0  2  0  2  0  2  0  2  0  2  2  2  2  0  2  0  0
 0  0  0  0  2  0  0  0  0  0  0  0  0  2  0  2  2  2  2  2  2  0  2  2  0  2  2  2  2  2  2  0  2  2  0  2  2  0  2  2  0  2  2  0  0
 0  0  0  0  0  2  0  0  0  0  0  0  2  0  0  2  2  0  2  2  0  2  0  2  0  2  2  2  0  2  0  2  0  2  2  0  0  0  2  2  2  2  2  0  0
 0  0  0  0  0  0  2  0  0  0  0  0  2  0  0  0  2  2  2  2  0  2  2  0  2  0  2  0  0  0  0  2  2  0  0  0  2  2  0  2  2  0  0  0  0
 0  0  0  0  0  0  0  2  0  0  0  2  0  0  0  0  2  2  0  2  0  0  0  2  2  2  0  0  2  0  2  2  0  2  2  0  2  2  0  2  0  0  0  0  0
 0  0  0  0  0  0  0  0  2  0  0  2  0  0  0  2  0  0  2  0  2  0  0  2  0  0  0  0  2  2  2  2  2  2  2  2  2  0  0  0  0  2  0  0  0
 0  0  0  0  0  0  0  0  0  2  0  2  2  2  2  2  0  0  0  2  0  0  2  2  0  0  2  0  0  2  2  0  2  2  0  0  0  2  2  0  0  2  2  2  2
 0  0  0  0  0  0  0  0  0  0  2  2  2  2  2  0  0  2  2  2  2  2  0  2  0  2  0  0  2  2  0  0  2  2  2  0  2  2  0  0  0  0  2  2  2

generates a code of length 45 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+109x^32+212x^36+463x^40+320x^42+1032x^44+4096x^45+640x^46+758x^48+64x^50+316x^52+133x^56+40x^60+7x^64+1x^80

The gray image is a code over GF(2) with n=180, k=13 and d=64.
This code was found by Heurico 1.16 in 3.88 seconds.