The generator matrix

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

generates a code of length 53 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 45.

Homogenous weight enumerator: w(x)=1x^0+76x^45+164x^46+290x^47+431x^48+466x^49+649x^50+844x^51+816x^52+836x^53+823x^54+768x^55+659x^56+476x^57+375x^58+204x^59+123x^60+88x^61+29x^62+30x^63+13x^64+10x^65+8x^66+8x^67+5x^68

The gray image is a code over GF(2) with n=212, k=13 and d=90.
This code was found by Heurico 1.16 in 3.62 seconds.