The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+54x^42+88x^43+101x^44+128x^45+530x^46+272x^47+542x^48+64x^49+114x^50+88x^51+55x^52+6x^54+4x^56+1x^88

The gray image is a code over GF(2) with n=376, k=11 and d=168.
This code was found by Heurico 1.16 in 0.125 seconds.