The generator matrix

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

generates a code of length 47 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 44.

Homogenous weight enumerator: w(x)=1x^0+33x^44+260x^45+169x^46+134x^47+140x^48+232x^49+29x^50+14x^51+9x^52+1x^58+1x^60+1x^66

The gray image is a code over GF(2) with n=376, k=10 and d=176.
This code was found by Heurico 1.16 in 0.063 seconds.