The generator matrix

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

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+17x^48+10x^49+18x^50+34x^51+100x^52+172x^53+71x^54+28x^55+38x^56+10x^57+6x^58+2x^59+4x^60+1x^102

The gray image is a code over GF(2) with n=212, k=9 and d=96.
This code was found by Heurico 1.16 in 0.0882 seconds.