The generator matrix

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

generates a code of length 45 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+208x^42+430x^43+274x^44+280x^45+266x^46+390x^47+156x^48+20x^49+4x^50+16x^54+1x^58+1x^60+1x^62

The gray image is a code over GF(2) with n=360, k=11 and d=168.
This code was found by Heurico 1.16 in 0.078 seconds.