The generator matrix

 1  0  0  1  1  1  0  1  1  2  X  1  0  1 X+2  1  1 X+2  2  X  1  1  1  1 X+2  1  1  X X+2  X  1  X  1  0  1  1  1  1  X  1 X+2  0  X  2  1  1  0  1  1  1 X+2  1  1
 0  1  0  0  1  1  1  2  0  X X+2  1  1 X+3  1 X+3  X  1  1  1 X+2 X+1  2 X+3  0 X+3 X+2  1  1  1 X+2  1  1 X+2 X+3 X+2 X+1  X  1  X  0  1  1  1 X+2 X+2  1  1  2 X+1  X  1  2
 0  0  1 X+1 X+3  0 X+1  X  3  1  1  1  3  X  0  1  1 X+1 X+2  3  0  0  1 X+1  1 X+2  X X+2  3 X+3 X+1  2  1  1  1  X  0  X  2  0  1  X X+2  0  1 X+3 X+3 X+2  2  0  1 X+1  X
 0  0  0  2  0  0  0  0  2  2  2  2  2  2  2  0  0  0  0  2  0  2  0  0  2  0  2  0  2  2  0  2  2  2  0  2  0  2  0  0  0  2  2  2  2  0  2  0  0  0  2  0  2
 0  0  0  0  2  0  0  0  0  0  0  2  0  0  0  0  2  2  2  2  2  2  2  2  2  2  0  0  2  0  2  0  0  0  2  0  0  2  2  2  2  2  0  2  2  0  2  2  0  2  2  0  0
 0  0  0  0  0  2  0  2  2  2  0  0  2  2  2  0  2  0  2  2  0  0  0  2  0  0  0  2  0  0  0  2  0  0  2  2  0  2  2  0  2  0  2  2  2  0  2  2  2  2  2  2  2
 0  0  0  0  0  0  2  0  0  0  0  0  2  0  0  0  0  2  0  2  0  0  0  0  0  0  0  0  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  0  0  0  0  2  2  2  2  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+169x^46+288x^47+447x^48+564x^49+678x^50+764x^51+848x^52+884x^53+766x^54+780x^55+590x^56+540x^57+354x^58+212x^59+140x^60+60x^61+63x^62+4x^63+18x^64+16x^66+4x^68+2x^70

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 2.38 seconds.