The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+50x^37+605x^38+2008x^39+5345x^40+10056x^41+19387x^42+29294x^43+42752x^44+43164x^45+42408x^46+29466x^47+20324x^48+9812x^49+4651x^50+1892x^51+618x^52+194x^53+83x^54+10x^55+16x^56+4x^57+2x^59+2x^62

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 357 seconds.