The generator matrix

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

generates a code of length 45 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 37.

Homogenous weight enumerator: w(x)=1x^0+102x^37+659x^38+2378x^39+5101x^40+11428x^41+19010x^42+30866x^43+38861x^44+44268x^45+39912x^46+31578x^47+19040x^48+11218x^49+4560x^50+2040x^51+761x^52+210x^53+81x^54+48x^55+10x^56+6x^57+2x^58+2x^59+2x^60

The gray image is a code over GF(2) with n=360, k=18 and d=148.
This code was found by Heurico 1.16 in 362 seconds.