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  0  1  1  0  X  0  2  X  2  X  2  1  X  1  1  1
 0  X  0  0  0  0  0  0  0 X+2  X  X  X  0  X X+2  2 X+2  0  2  X  0  X  2  X  X X+2  0  2  X  2  X  X  2  X  X  2  0  0  X  0  X  2  0  2
 0  0  X  0  0  0  X X+2  X  2  X X+2  0 X+2  0 X+2 X+2  X  2  X  2 X+2  2  2  0  X  2  0 X+2  2 X+2  0 X+2 X+2  2  2 X+2  X  0  0 X+2  0  0  0  0
 0  0  0  X  0  X  X  X  0 X+2  2  X X+2  X X+2  2  2  X  2  2  2  0  0  2  2  2  X  X  X X+2  0  0  2  X  0  2  X  2  X  2 X+2  X X+2  0  0
 0  0  0  0  X  X  0  X X+2  X  0  X  2 X+2  2  0 X+2  0 X+2  0  X X+2  2  2  X  X  X  0  2 X+2  0 X+2 X+2  2  0  X  0  2  0 X+2  X  2  X X+2  X
 0  0  0  0  0  2  0  0  0  0  0  0  0  0  0  0  0  2  2  2  2  2  0  2  0  2  2  2  2  0  2  2  2  2  0  0  0  2  2  0  0  0  0  2  2
 0  0  0  0  0  0  2  0  2  0  2  2  2  2  0  0  0  0  0  2  2  0  2  2  2  0  2  2  0  2  0  0  2  2  0  0  2  2  0  2  2  2  2  2  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+60x^36+116x^37+181x^38+222x^39+290x^40+418x^41+642x^42+766x^43+925x^44+1034x^45+877x^46+830x^47+594x^48+394x^49+261x^50+194x^51+147x^52+82x^53+81x^54+36x^55+31x^56+4x^57+5x^58+1x^70

The gray image is a code over GF(2) with n=180, k=13 and d=72.
This code was found by Heurico 1.16 in 3.38 seconds.