The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+176x^38+1000x^39+3134x^40+5456x^41+10468x^42+13668x^43+22169x^44+18796x^45+22471x^46+13516x^47+10833x^48+5440x^49+2566x^50+870x^51+337x^52+108x^53+27x^54+16x^55+6x^56+8x^57+4x^58+2x^59

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 83 seconds.