The generator matrix

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

generates a code of length 47 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+30x^42+178x^43+418x^44+508x^45+589x^46+696x^47+572x^48+492x^49+400x^50+162x^51+24x^52+4x^53+3x^54+4x^55+6x^56+4x^57+1x^58+2x^60+1x^64+1x^66

The gray image is a code over GF(2) with n=376, k=12 and d=168.
This code was found by Heurico 1.16 in 0.188 seconds.