The generator matrix

 1  0  1  1  1 X+2  1  1  X  1  1  2 X+2  1 X+2  1  1  1  0  1  1  1  1  2  1  1 X+2  1  1  1  1  1  1  1  1  0  1  2  0  1  1  0  2  1  1  2  1  1  X  1  2  1  1
 0  1  1 X+2 X+3  1  2 X+1  1  X  3  1  1  0  1 X+1  0  1  1  X  3 X+2 X+3  1  2  1  1 X+2  3  0 X+3  3  0  0 X+3  1  0  1  1  2 X+3  1  1  0  1  1 X+3 X+1  X  1  1 X+3  3
 0  0  X  0 X+2  0  X  2  X X+2  0 X+2  2  2  X  2  X X+2  0  X  2  0 X+2  X  X  X  2  X X+2  X X+2 X+2 X+2  2  2 X+2  2 X+2  X  X  2  2  0  2  0  0  0  0  X X+2  0  0  2
 0  0  0  2  0  0  0  2  2  0  2  0  0  2  2  0  2  2  0  2  0  0  2  0  0  0  0  2  0  2  2  2  0  2  2  0  0  2  2  2  0  2  2  2  0  0  2  0  2  0  2  2  0
 0  0  0  0  2  0  0  0  0  2  2  2  2  2  2  0  2  0  2  2  2  2  0  0  2  2  0  0  0  0  2  2  0  0  2  0  0  0  2  0  2  0  2  2  0  2  2  2  2  2  2  0  2
 0  0  0  0  0  2  2  2  0  2  2  0  2  0  0  2  2  0  0  0  0  2  2  2  0  2  0  0  2  2  2  0  0  0  2  0  2  2  2  0  0  0  2  2  2  2  0  2  2  0  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+264x^48+370x^50+458x^52+354x^54+356x^56+166x^58+54x^60+6x^62+9x^64+8x^68+2x^72

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 6.92 seconds.