The generator matrix

 1  0  0  1  1  1 X+2  X  1  1  1  X  1  2  1  1  X X+2  1  1  1  2  1  2  1  1 X+2  X  1  X  1  2  2  1  1  0  1  1  1  1  1  1  1  1  1  X  1  1  0  2 X+2  2  1
 0  1  0  0  3 X+1  1  2  0  0 X+3  1  1  1  3  X  1  1  1  2 X+2 X+2  3  1 X+3 X+1  1  1 X+3  X X+3  1  1 X+3  1  1  0  X  0 X+3  1  X  0 X+1  3  2  1 X+2  1  1  1 X+2  2
 0  0  1  1  3  2  3  1  2 X+1 X+3  2  2  1  1 X+2 X+1  2  X  3  2  1  1  X  X  1  X X+3  X  1  0 X+3 X+3  1 X+3  3  2  1 X+2 X+2  2  X X+3  0 X+2  1 X+2  2 X+2 X+3 X+3  1  0
 0  0  0  X  X  0  X  X X+2  2  0 X+2  X  2 X+2  0  X  2  2  2 X+2  X  0  X X+2 X+2  0  0  2  X  X  2  0  0  X  X  2  2  2  X  0  X  X  2 X+2  2  0  X  0 X+2  0  0 X+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+76x^48+230x^49+249x^50+236x^51+276x^52+200x^53+147x^54+150x^55+148x^56+128x^57+66x^58+52x^59+32x^60+12x^61+12x^62+10x^63+11x^64+6x^65+5x^66+1x^70

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 0.183 seconds.