The generator matrix

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

generates a code of length 45 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+43x^36+24x^37+90x^38+148x^39+193x^40+222x^41+313x^42+418x^43+413x^44+434x^45+405x^46+434x^47+281x^48+198x^49+148x^50+134x^51+79x^52+14x^53+54x^54+18x^55+13x^56+4x^57+11x^58+1x^60+3x^62

The gray image is a code over GF(2) with n=180, k=12 and d=72.
This code was found by Heurico 1.16 in 0.777 seconds.