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  X  1  0  1  1  X  1  1  1  1  X  2  X  0  2  2
 0  X  0 X+2  0 X+2  0 X+2  2 X+2  0 X+2  X  0  2  X  0  X  2 X+2 X+2 X+2  0  0  2 X+2  2  0  2 X+2 X+2  X  0  0  0  0 X+2  X  2  2  2 X+2  X  2  0
 0  0  2  0  0  0  0  0  2  0  0  2  2  2  2  0  0  2  0  0  2  0  0  2  2  2  2  2  0  0  0  2  0  2  0  2  0  2  0  0  0  2  0  2  2
 0  0  0  2  0  0  0  2  0  0  0  2  0  0  0  2  2  0  2  2  2  0  2  0  2  0  0  2  2  2  0  2  0  2  2  0  2  0  0  2  2  0  2  0  0
 0  0  0  0  2  0  0  0  0  2  2  0  2  0  2  2  2  0  0  2  0  2  0  0  0  0  2  0  2  2  2  0  2  2  2  2  2  0  0  2  2  0  0  2  2
 0  0  0  0  0  2  0  2  0  2  2  0  0  2  2  0  0  2  2  0  2  2  0  2  2  0  0  0  0  2  0  2  0  2  2  0  2  2  2  2  0  0  0  0  0
 0  0  0  0  0  0  2  0  2  0  2  0  0  0  2  0  0  0  0  2  2  2  2  2  2  2  2  2  2  0  2  0  2  0  2  0  0  2  2  0  2  0  0  2  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+180x^40+80x^42+296x^44+160x^46+217x^48+16x^50+62x^52+9x^56+2x^60+1x^72

The gray image is a code over GF(2) with n=180, k=10 and d=80.
This code was found by Heurico 1.16 in 0.427 seconds.