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 X 2 1 1 1 1 X 1 X 1 0 1 0 1 0 X 1 1 0 1 1
0 X 0 0 0 2 0 2 0 X+2 X X+2 X X X X 0 0 2 2 X+2 X X+2 X 0 X X+2 2 2 X+2 0 2 X 2 X X X X+2 X X+2 2 0 2 X+2 X+2
0 0 X 0 0 2 X X X+2 X X 2 X X+2 2 2 0 2 X X X+2 X+2 0 2 X+2 X 0 0 X+2 0 X+2 X X+2 X+2 X+2 0 X X X 0 X+2 X X X+2 X+2
0 0 0 X 0 X X X+2 2 2 2 2 X X X+2 X 0 X+2 X 0 2 X+2 X+2 0 X X+2 2 X+2 2 X 0 0 2 X+2 0 X 0 0 0 X X+2 X+2 X+2 X+2 X+2
0 0 0 0 X X 2 X X+2 X+2 2 X+2 X 0 0 X+2 2 X X 2 2 X+2 X 0 X X X 2 X+2 0 0 X+2 2 0 X+2 2 X+2 2 X X+2 X+2 2 0 X+2 X
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+345x^40+160x^42+644x^44+320x^46+377x^48+32x^50+148x^52+20x^56+1x^72
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 32.8 seconds.