The generator matrix

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

generates a code of length 45 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+143x^38+952x^39+2943x^40+5286x^41+9711x^42+14862x^43+20400x^44+21820x^45+20936x^46+15486x^47+9956x^48+4912x^49+2339x^50+786x^51+356x^52+140x^53+23x^54+10x^55+6x^56+2x^57+2x^60

The gray image is a code over GF(2) with n=360, k=17 and d=152.
This code was found by Heurico 1.16 in 87 seconds.