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

generates a code of length 46 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+89x^38+748x^39+2676x^40+5306x^41+11312x^42+19372x^43+29838x^44+38746x^45+44751x^46+39712x^47+31029x^48+19432x^49+10855x^50+4758x^51+2226x^52+866x^53+280x^54+80x^55+50x^56+2x^57+9x^58+2x^59+4x^60

The gray image is a code over GF(2) with n=368, k=18 and d=152.
This code was found by Heurico 1.16 in 360 seconds.