The generator matrix

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

generates a code of length 53 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 46.

Homogenous weight enumerator: w(x)=1x^0+130x^46+282x^47+488x^48+552x^49+839x^50+626x^51+926x^52+724x^53+884x^54+686x^55+652x^56+426x^57+478x^58+176x^59+160x^60+76x^61+34x^62+20x^63+11x^64+10x^65+3x^66+2x^67+2x^68+4x^69

The gray image is a code over GF(2) with n=212, k=13 and d=92.
This code was found by Heurico 1.16 in 2.69 seconds.