The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+60x^37+618x^38+2106x^39+4846x^40+10578x^41+19524x^42+29208x^43+41672x^44+44628x^45+41512x^46+30180x^47+19607x^48+10298x^49+4534x^50+1754x^51+716x^52+196x^53+82x^54+10x^55+6x^56+2x^58+2x^59+4x^63

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 350 seconds.