The generator matrix

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

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+42x^46+150x^47+252x^48+286x^49+326x^50+400x^51+442x^52+442x^53+433x^54+366x^55+277x^56+240x^57+187x^58+120x^59+37x^60+18x^61+26x^62+16x^63+10x^64+6x^65+6x^66+4x^67+5x^68+3x^70+1x^74

The gray image is a code over GF(2) with n=212, k=12 and d=92.
This code was found by Heurico 1.16 in 0.694 seconds.