The generator matrix

 1  0  0  1  1  1  X  0  1  1  1 X+2  1  2  1  1  2 X+2  2  1  1  0  2  1  2  1  2  1  1  1 X+2  1  1  1  1  1 X+2  1  2  1  1  X  1  1  1
 0  1  0  0  1 X+3  1  1  X  X X+1  1  1  X  3 X+2  X  1  1  X X+1  1  1  1  0 X+2  1 X+2  3  X  0  2  2  2  1  1  X  X  X  3  X  1  1  3  3
 0  0  1  1  1  0  1 X+1 X+1  X X+3  0  2  1  1 X+3  1 X+3  2  0  X  2 X+3  X  1  1  1  0  X  X  1  3  X  0  2  3  1  X X+2  2 X+3 X+1  X X+3  1
 0  0  0  X  0 X+2  2  0  X  2  2  0  X  0 X+2  2 X+2  X  X X+2  0  X X+2  0  X  2  2 X+2  X X+2  2  0  2  2 X+2  X X+2  2  X  2  2 X+2 X+2  2  X
 0  0  0  0  2  0  2  0  2  2  0  2  2  2  0  0  0  0  2  2  2  0  2  2  0  0  0  2  2  0  0  0  2  0  0  0  0  0  2  2  2  2  2  0  0
 0  0  0  0  0  2  0  2  2  2  2  2  0  2  2  0  0  2  2  2  0  0  0  2  2  2  0  0  2  2  2  2  0  2  0  0  0  2  2  2  0  2  2  2  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+97x^38+208x^39+503x^40+520x^41+692x^42+816x^43+806x^44+952x^45+841x^46+904x^47+594x^48+552x^49+351x^50+112x^51+115x^52+24x^53+66x^54+8x^55+26x^56+1x^58+3x^60

The gray image is a code over GF(2) with n=180, k=13 and d=76.
This code was found by Heurico 1.16 in 1.94 seconds.