The generator matrix

 1  0  0  1  1  1  0  1  2  1  1  2  1  2 X+2  1  1  1  X  1  0  X  1  1  2  1  2  1  X  1  1 X+2  X  1  1  X  1 X+2  1  1  1 X+2  1  1  1
 0  1  0  0  1  3  1  X  1  1  2  1 X+1 X+2  1  X X+2 X+3 X+2 X+3  1  1  X X+1  2  2  1  2  1  0  1  1  1 X+2  1  1  3  0 X+3  3  2  1  1 X+2 X+2
 0  0  1 X+1 X+3  0 X+1  1  X  1  X  3  0  1  2 X+2 X+1  1  1  X  2 X+3  3  0  1 X+2 X+1  1  2 X+2 X+1  0 X+2 X+3 X+3 X+2  3  1 X+3  0  3 X+1  X X+2  3
 0  0  0  2  0  0  0  0  0  2  2  2  2  2  2  0  0  2  0  0  2  2  2  2  2  0  0  0  0  2  2  0  2  0  2  2  0  2  0  2  2  0  2  2  0
 0  0  0  0  2  2  2  0  2  2  0  2  2  0  2  2  2  0  2  0  0  0  2  0  2  0  0  2  2  2  2  0  2  0  0  0  0  0  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+49x^40+212x^41+241x^42+314x^43+197x^44+240x^45+171x^46+182x^47+120x^48+96x^49+87x^50+74x^51+15x^52+28x^53+13x^54+6x^55+2x^56

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 0.137 seconds.