The generator matrix

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

generates a code of length 45 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+37x^38+120x^39+131x^40+360x^41+260x^42+594x^43+356x^44+502x^45+348x^46+520x^47+247x^48+316x^49+95x^50+98x^51+28x^52+30x^53+23x^54+12x^55+5x^56+8x^57+4x^58+1x^66

The gray image is a code over GF(2) with n=180, k=12 and d=76.
This code was found by Heurico 1.16 in 0.56 seconds.