The generator matrix

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

generates a code of length 45 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+90x^40+244x^41+255x^42+530x^43+614x^44+782x^45+526x^46+566x^47+161x^48+116x^49+96x^50+50x^51+42x^52+10x^53+1x^54+6x^55+4x^56+1x^58+1x^70

The gray image is a code over GF(2) with n=360, k=12 and d=160.
This code was found by Heurico 1.16 in 0.25 seconds.