The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  1  1  1  1  1  1  X  1  1  1  1  1  1  1 2X  1  1  1  X  1  0  1  1  X  2  1  1
 0 2X+2  0  0  0  2 2X+2  2  0 2X 2X+2 2X+2  0 2X 2X+2 2X+2  0 2X 2X+2 2X+2 2X  2 2X+2  2  2 2X  0 2X 2X  2 2X+2 2X 2X 2X+2  2  2  0 2X  0  2  2  0 2X+2  0  2 2X+2 2X
 0  0 2X+2  0  2  2  2 2X  0 2X  2 2X+2  2  2 2X 2X  0 2X+2 2X+2  0 2X+2  2 2X 2X+2 2X+2  2 2X  0  0  0 2X 2X 2X+2 2X+2 2X+2 2X+2  2 2X  2 2X  0  0 2X+2 2X+2 2X  0  2
 0  0  0 2X+2  2 2X 2X+2 2X+2  0 2X+2 2X 2X+2  2  0 2X+2  0 2X 2X+2  2  2  0  0 2X  2 2X 2X  2  0 2X+2  2  2 2X  0  0 2X 2X+2 2X+2 2X 2X+2  0  0  2 2X  0  2 2X+2  0
 0  0  0  0 2X 2X 2X 2X 2X 2X  0  0  0 2X  0 2X 2X 2X  0  0 2X  0 2X 2X 2X  0  0  0 2X  0 2X  0  0  0  0 2X 2X 2X 2X  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+102x^42+164x^44+96x^45+554x^46+320x^47+488x^48+96x^49+114x^50+44x^52+54x^54+6x^56+8x^58+1x^80

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 0.187 seconds.