The generator matrix

 1  0  0  1  1  1  0  1  2  1  1  2  1  2 X+2  1  1  1 X+2 X+2  1  1 X+2  1  1 X+2  X  1  0  1  1  X  0  X  1 X+2  1  1  1  1  1  1  1  1  1  1  1  X  1  1 X+2  1  1
 0  1  0  0  1  3  1  X  1  1  2  1 X+1 X+2  1 X+2  1  X  0  1  2 X+3  X  X  1  1  1 X+2  1  X  1  1  1  2  1  0  3  0 X+1  2  2 X+3 X+3  2 X+2 X+2  0  1 X+2  2  1  X  X
 0  0  1 X+1 X+3  0 X+1  1  X  1  X  3  0  1  X  2 X+2 X+1  1 X+3  1  1  1  X  3  2  1  0  X X+3  2  X  0  1 X+1  1  3 X+2 X+1 X+2  0  X  3 X+2 X+1  1 X+3 X+3  3 X+3  X X+1  X
 0  0  0  2  0  0  0  0  0  2  2  2  2  2  2  2  2  2  0  0  0  2  2  0  0  2  0  0  0  0  2  0  2  2  2  2  2  0  2  0  2  0  0  2  0  2  0  2  2  0  2  2  2
 0  0  0  0  2  2  2  0  2  2  0  2  2  0  2  2  0  2  2  0  2  0  2  2  0  2  0  0  0  0  0  2  0  2  2  0  0  2  0  0  0  0  2  2  2  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 48.

Homogenous weight enumerator: w(x)=1x^0+117x^48+172x^49+286x^50+168x^51+313x^52+168x^53+246x^54+120x^55+141x^56+76x^57+94x^58+24x^59+57x^60+32x^61+10x^62+8x^63+9x^64+4x^66+2x^68

The gray image is a code over GF(2) with n=212, k=11 and d=96.
This code was found by Heurico 1.16 in 0.185 seconds.