The generator matrix

 1  0  0  1  1  1 X+2  1  X  1  1  X  2  1  X  0  1  1  1  1  0 X+2 X+2  1  1  0  0  X  2  1  X  1  1  0  1  1  0  2 X+2  2  1  1  1  1  1
 0  1  0  0  1 X+3  1 X+2  1 X+3  2  1  X X+1 X+2  1  X  X  1 X+1  1  1  1  2  1  1  1  0  1 X+3  0  1 X+1  1  0  0  1  1  1  1  2  2  3  2  0
 0  0  1  1 X+1  0 X+3  1 X+2 X+3  X  1  1  X  1 X+1 X+2 X+1  1  0  X X+3  3  1  0 X+1  3  1  0  1  1  0  3  2  0  X X+2 X+3 X+2  2  0 X+3  2  X X+1
 0  0  0  X  X X+2  0  X  2  X  0  2  2 X+2  2  0  0 X+2  2  2 X+2 X+2  X  0  0  2 X+2  X  X  0  X  0  2  0  X X+2  0 X+2  2 X+2  2  0  X  0  2
 0  0  0  0  2  0  0  0  0  2  0  0  0  2  2  2  2  2  2  0  2  2  0  2  2  2  2  2  0  0  0  2  2  0  0  2  0  0  2  2  2  2  2  0  0
 0  0  0  0  0  2  0  2  2  2  2  2  2  0  2  2  2  2  2  2  2  2  0  2  0  0  0  0  2  2  2  2  2  2  2  0  0  0  2  0  0  0  2  0  2
 0  0  0  0  0  0  2  0  0  0  0  2  0  0  0  2  0  0  0  0  0  2  2  0  0  2  2  2  2  2  2  0  2  2  0  2  2  0  0  2  2  0  2  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+90x^37+219x^38+504x^39+641x^40+1236x^41+1107x^42+1756x^43+1604x^44+2010x^45+1671x^46+1886x^47+1146x^48+1168x^49+531x^50+434x^51+175x^52+98x^53+50x^54+26x^55+16x^56+4x^57+6x^58+2x^59+1x^60+2x^61

The gray image is a code over GF(2) with n=180, k=14 and d=74.
This code was found by Heurico 1.16 in 7.88 seconds.