The generator matrix

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

generates a code of length 47 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 39.

Homogenous weight enumerator: w(x)=1x^0+76x^39+652x^40+2282x^41+5398x^42+11226x^43+19216x^44+30450x^45+39388x^46+43734x^47+40467x^48+31140x^49+19132x^50+11016x^51+5002x^52+1874x^53+710x^54+242x^55+66x^56+46x^57+10x^58+10x^59+2x^60+2x^62+2x^64

The gray image is a code over GF(2) with n=376, k=18 and d=156.
This code was found by Heurico 1.16 in 387 seconds.