The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+66x^39+620x^40+2226x^41+5304x^42+11544x^43+19547x^44+30080x^45+39340x^46+43814x^47+39934x^48+31088x^49+19728x^50+11154x^51+4741x^52+1832x^53+750x^54+256x^55+53x^56+22x^57+28x^58+14x^59+2x^62

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 368 seconds.