The generator matrix

 1  0  0  1  1  1  X  0  1  1  1 X+2  1  2 X+2 X+2  1  1  0  1  1 X+2  2  1 X+2  1  1  2 X+2  1  2  1  1  1  1  X  1  X  1 X+2  2  1  1 X+2  1  1  1  1  1  2  1  2 X+2
 0  1  0  0  1 X+3  1  1  X  X X+1  1  1  X  1  1  2  3 X+2  2  1  1  1  X  X X+3  1 X+2  1  X  1  X  2  2 X+3  1 X+1 X+2  2  0  1  X  3  1  0  3  1 X+3  0  1  0  2  0
 0  0  1  1  1  0  1 X+1 X+1  X X+3  0  2  1 X+1 X+2 X+1  1  1 X+2 X+2  2 X+3 X+2  1  0 X+2  1  X  1  1  2  X X+1  3  1 X+2  1 X+1  1  3  X X+1  3 X+3  2  X  3  0  3  1  1  1
 0  0  0  X  0 X+2  2  0  X  2  2  0  X  0  2  0 X+2 X+2 X+2 X+2  2 X+2  X  X  X  2 X+2  2 X+2  0  X  2  0  0  X X+2 X+2  X  2  0  2 X+2  X  2  2  0  2  X X+2  X  X X+2  2
 0  0  0  0  2  0  2  0  2  2  0  2  2  2  2  2  0  0  0  2  0  0  0  2  0  2  0  2  0  0  0  2  0  2  2  0  2  2  0  0  0  0  2  2  2  2  0  0  2  2  0  2  0
 0  0  0  0  0  2  0  2  2  2  2  2  0  2  2  0  2  2  0  2  2  0  2  0  2  2  0  0  2  2  2  0  2  0  2  0  0  2  0  2  0  2  0  2  2  0  0  0  2  0  2  0  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+163x^46+184x^47+601x^48+448x^49+917x^50+612x^51+946x^52+656x^53+981x^54+564x^55+743x^56+384x^57+495x^58+172x^59+191x^60+48x^61+50x^62+4x^63+9x^64+16x^66+3x^68+2x^70+2x^72

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 2.71 seconds.