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  X  1  1  2  1  1  0  1  1  1  0  1  2
 0  X  0 X+2  0 X+2  0 X+2  2 X+2 X+2  0  0 X+2  2  X  0 X+2  X  2  0  2 X+2  X  0 X+2  X  2 X+2  X  0  0  2 X+2 X+2  0  0  2  X  X  2  2  0  2  0  2  X  0 X+2  0  X X+2  2
 0  0  2  0  0  0  0  0  2  0  0  0  2  0  2  0  0  0  0  0  2  2  2  2  0  2  2  0  2  2  0  2  2  0  2  0  2  2  0  2  0  2  2  0  0  0  2  0  2  0  2  2  0
 0  0  0  2  0  0  0  2  0  0  0  0  0  2  0  2  0  0  2  0  2  2  2  0  2  2  0  2  2  2  2  2  0  0  0  2  2  0  0  0  0  0  2  0  2  0  2  2  0  2  2  2  0
 0  0  0  0  2  0  0  0  0  0  0  2  2  0  2  0  0  2  2  2  0  2  0  0  2  2  2  0  0  2  2  2  0  2  2  0  0  2  2  0  2  2  0  0  0  0  0  2  2  2  2  0  0
 0  0  0  0  0  2  0  2  0  0  2  0  0  2  0  0  2  2  2  2  2  2  0  0  0  2  2  0  0  2  2  0  2  0  0  2  0  2  2  2  0  2  0  0  2  2  0  2  0  0  0  2  0
 0  0  0  0  0  0  2  0  2  2  2  2  0  2  2  2  2  0  2  2  2  2  0  2  2  2  0  2  2  0  2  2  0  2  2  0  0  0  2  0  2  2  2  0  2  0  2  0  0  0  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+128x^48+96x^50+256x^51+68x^52+64x^53+32x^54+128x^55+104x^56+64x^57+60x^60+22x^64+1x^96

The gray image is a code over GF(2) with n=212, k=10 and d=96.
This code was found by Heurico 1.16 in 1.11 seconds.