The generator matrix

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

generates a code of length 53 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 49.

Homogenous weight enumerator: w(x)=1x^0+96x^49+121x^50+174x^51+103x^52+196x^53+75x^54+80x^55+36x^56+52x^57+20x^58+14x^59+15x^60+16x^61+7x^62+5x^64+8x^65+1x^66+4x^67

The gray image is a code over GF(2) with n=212, k=10 and d=98.
This code was found by Heurico 1.11 in 0.0672 seconds.