The generator matrix

 1  0  0  0  1  1  1  2  1  1  1  X X+2  1  X  2  1  2  1  1  1  1 X+2  1  2  X  1  X  0 X+2  1  1  1  1  1  2  1  1  1  0  0  2  1 X+2  1  0  1  1  X  0  0  1  1
 0  1  0  0  X  2 X+2  1  3  1  3  1  1 X+1  0 X+2  2  1 X+3  3  0  3  1  0  1  X  2 X+2  1  X X+1  2 X+1 X+3  0  X  3  3 X+1  1 X+2  X  1  1 X+3  1 X+1 X+2  1  2  2  X  0
 0  0  1  0  X  3  1  3  2  1 X+1 X+1  X  2  1  1  X  2 X+3 X+3  X  X X+1  3  3  1 X+1  X X+2  1 X+3  1 X+2  X X+1  2 X+2  1 X+2  X  1 X+2  0  X X+2 X+2  0  2  3  1  2  0  2
 0  0  0  1 X+1  1  X  3  3  2 X+3  X  1  2 X+3 X+1 X+1 X+2  3  0  X X+2  0  X X+3  X  1  1 X+3 X+1  0  2 X+3  2 X+1  1  0  3  X  1  1  1  X X+3  2  2  3 X+2 X+1 X+2  1 X+3  2
 0  0  0  0  2  0  2  0  0  0  2  2  2  2  2  0  0  2  0  2  2  0  0  0  2  0  2  0  0  2  2  2  0  0  0  2  0  2  2  0  2  0  2  0  2  2  2  2  2  2  2  2  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+80x^46+278x^47+620x^48+542x^49+746x^50+676x^51+936x^52+740x^53+844x^54+568x^55+717x^56+448x^57+461x^58+230x^59+148x^60+76x^61+40x^62+22x^63+8x^64+2x^65+3x^66+2x^67+2x^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 1.13 in 0.927 seconds.