The generator matrix

 1  0  0  1  1  1  2  0  1  1  0  1  2  1  0  1  1  1 X+2 X+2  1  1  1  0 X+2  1  1  0  1  2 X+2  1  X  X  1  1  1  0  1  1  1 X+2  1  1 X+2  1  1  1  2  X X+2  1  1
 0  1  0  0  1  1  1  2  0  0  1  1  1  1  1  X X+1  2  1  X  1 X+1  0  1  X  0  X  X X+2  1  1 X+3  1  1  2 X+3  X  1 X+1  X X+3  2 X+2 X+1  2 X+1  1  3  1  X  2  2  0
 0  0  1  1  2  3  1  1  0  1  2  2  3  3  1 X+3  0  X X+2  1 X+3  2  X  X  1 X+1  2  1 X+2  2  1  1 X+3  1 X+1  3 X+3 X+3  3 X+1  1  1  X X+1  1  X X+3  X X+1  1  1  1  0
 0  0  0  X  0  X  X  X X+2  2  X X+2  0  2 X+2  X  2  0  2  X  2  X X+2  X  2  2  2  X X+2  2 X+2  2  0  2  X X+2 X+2 X+2  0  2  X  2  2 X+2  0  0  0  0  0  0 X+2 X+2  X

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+97x^48+204x^49+234x^50+284x^51+257x^52+196x^53+155x^54+150x^55+114x^56+88x^57+100x^58+62x^59+50x^60+24x^61+15x^62+14x^63+2x^67+1x^68

The gray image is a code over GF(2) with n=212, k=11 and d=96.
This code was found by Heurico 1.11 in 0.109 seconds.