The generator matrix

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

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+140x^49+110x^50+164x^51+101x^52+80x^53+86x^54+128x^55+53x^56+80x^57+24x^58+40x^59+3x^60+4x^61+4x^63+2x^64+2x^66+2x^78

The gray image is a code over GF(2) with n=212, k=10 and d=98.
This code was found by Heurico 1.16 in 6.44 seconds.