The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+90x^38+624x^39+2191x^40+5008x^41+11250x^42+18846x^43+30947x^44+38560x^45+46138x^46+39140x^47+32306x^48+18822x^49+10474x^50+4748x^51+2017x^52+672x^53+236x^54+30x^55+26x^56+6x^57+4x^58+2x^59+4x^61+2x^63

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 367 seconds.