The generator matrix

 1  0  1  1  1 X+2  1  1  X  1  1  2  1  1  0  1  1 X+2  1  1  1  1  2  X  1  1  1  1  2  0  1  1  1  1  1  0  1  1  X  1  1  2  1  1  1
 0  1  1 X+2 X+3  1  2 X+1  1  X  3  1  0 X+1  1 X+2  3  1  2 X+3  X  1  1  1  0  2  0 X+1  1  1 X+1  1 X+1  3  0  1  0  0  1 X+2  X  1 X+1  3  0
 0  0  X  0 X+2  0  X  2  X  X  2 X+2  0  0  0  2  2  2 X+2 X+2  X X+2 X+2 X+2  0  0  0  0  X X+2  2  2  X  0 X+2  X  2  X  0 X+2 X+2  X  X  0  2
 0  0  0  2  0  0  0  2  2  0  0  0  0  2  2  2  0  2  2  2  2  2  2  0  0  0  2  2  2  0  0  2  2  0  0  0  2  2  0  0  2  2  2  2  2
 0  0  0  0  2  0  0  0  0  2  0  2  2  2  2  2  2  2  2  0  0  2  0  2  0  2  0  2  2  0  2  2  2  0  2  0  0  0  2  0  2  2  0  0  0
 0  0  0  0  0  2  2  2  0  0  0  0  2  2  0  2  0  2  0  2  2  2  2  2  2  0  2  0  0  0  2  2  0  2  0  2  0  0  0  2  2  2  0  0  2

generates a code of length 45 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+172x^40+112x^41+260x^42+160x^43+230x^44+224x^45+212x^46+160x^47+247x^48+112x^49+124x^50+13x^52+4x^54+7x^56+8x^58+1x^60+1x^64

The gray image is a code over GF(2) with n=180, k=11 and d=80.
This code was found by Heurico 1.16 in 0.243 seconds.