The generator matrix

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

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+210x^38+48x^39+598x^40+248x^41+1033x^42+472x^43+1268x^44+528x^45+1295x^46+448x^47+990x^48+248x^49+469x^50+56x^51+181x^52+59x^54+31x^56+6x^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 7.94 seconds.