The generator matrix

 1  0  1  1  1 X+2  1  1  2  1  X  1  1  1  X  1  1 X+2  1  0  1  1  1  0  0  1  1  1  0  2  1  1  1  1  1  X  X  1  1  1  0 X+2  1  1  1
 0  1  1  0 X+3  1  X X+1  1 X+2  1  3 X+3  0  1 X+1  X  1  3  1  2  1 X+3  1  1  3  0  0  1  1  2  1  0 X+2 X+1  1  1  1 X+3  2  1  1  0  3  0
 0  0  X  0 X+2  0  0  X  2  0  2  X  0 X+2 X+2  0 X+2  X  2 X+2  X  2  X  X  X  X  0 X+2  2  0 X+2  0  2  X  X  0  X  2 X+2  X  2 X+2  0  2  X
 0  0  0  X  0  0  X  X X+2  2  X  X X+2  X  0  2  2  X  2  0  0 X+2  X  0 X+2  2  0  X  2  2 X+2  X X+2  2  X X+2  X  X  2  2  X  X  2  0 X+2
 0  0  0  0  2  0  0  0  0  0  0  2  2  0  0  0  2  2  0  2  0  2  0  2  2  0  0  0  2  2  2  2  2  2  2  2  0  0  0  2  2  2  2  0  2
 0  0  0  0  0  2  0  0  0  2  0  2  0  2  2  2  0  0  2  0  2  2  2  2  2  2  0  0  0  2  2  0  2  2  2  2  0  2  2  0  2  2  2  0  0
 0  0  0  0  0  0  2  0  0  0  2  0  0  0  2  2  2  2  0  0  2  2  2  2  0  2  2  0  0  2  0  2  0  0  2  2  0  0  0  0  0  2  0  2  2

generates a code of length 45 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 37.

Homogenous weight enumerator: w(x)=1x^0+48x^37+85x^38+202x^39+346x^40+546x^41+710x^42+814x^43+939x^44+900x^45+924x^46+840x^47+675x^48+504x^49+294x^50+160x^51+72x^52+44x^53+31x^54+30x^55+10x^56+6x^57+4x^58+2x^59+5x^60

The gray image is a code over GF(2) with n=180, k=13 and d=74.
This code was found by Heurico 1.16 in 2.62 seconds.