The generator matrix

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

generates a code of length 53 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 46.

Homogenous weight enumerator: w(x)=1x^0+107x^46+56x^47+301x^48+208x^49+417x^50+320x^51+561x^52+360x^53+370x^54+344x^55+436x^56+192x^57+216x^58+48x^59+78x^60+8x^61+33x^62+20x^64+7x^66+9x^68+2x^70+2x^72

The gray image is a code over GF(2) with n=212, k=12 and d=92.
This code was found by Heurico 1.16 in 0.749 seconds.