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  2  1  1  1  1  1  1  1  1  1  1  1  1
 0  X  0 X+2  0 X+2  2 X+2  0 X+2  0 X+2  0 X+2  2  X  2  X  X  2  0  0 X+2 X+2  0  0  2  2 X+2 X+2  X  X  2  0  0  2  2 X+2 X+2  X  X  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  2  0  0  0  2  2  0  2  2  2  2  0  0  0  0  0  0  2  2  0  2  2  0  0
 0  0  0  2  0  0  0  2  0  0  2  2  2  2  0  0  0  0  2  0  2  2  0  2  2  2  2  2  2  0  0  2  0  0  2  2  0  0  2  2  0  2  0  2  0
 0  0  0  0  2  0  2  0  0  2  0  2  2  0  2  2  2  0  2  0  2  0  2  2  0  2  2  0  0  0  2  2  0  2  0  0  2  0  2  0  2  2  2  2  0
 0  0  0  0  0  2  0  2  2  2  0  0  2  2  2  2  2  0  0  2  0  2  0  2  2  0  2  0  0  2  0  2  0  2  0  2  0  0  2  2  0  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+17x^40+48x^42+210x^44+176x^46+21x^48+32x^50+6x^52+1x^88

The gray image is a code over GF(2) with n=180, k=9 and d=80.
This code was found by Heurico 1.16 in 0.0527 seconds.