The generator matrix

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

generates a code of length 47 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+36x^40+276x^41+418x^42+696x^43+644x^44+912x^45+745x^46+954x^47+730x^48+896x^49+528x^50+502x^51+352x^52+282x^53+97x^54+70x^55+27x^56+16x^57+4x^58+2x^59+2x^60+2x^61

The gray image is a code over GF(2) with n=188, k=13 and d=80.
This code was found by Heurico 1.13 in 0.783 seconds.