The generator matrix

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

generates a code of length 54 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 46.

Homogenous weight enumerator: w(x)=1x^0+42x^46+146x^47+296x^48+500x^49+489x^50+770x^51+663x^52+944x^53+746x^54+912x^55+559x^56+696x^57+409x^58+436x^59+245x^60+148x^61+93x^62+38x^63+20x^64+12x^65+10x^66+2x^67+8x^68+4x^69+3x^70

The gray image is a code over GF(2) with n=216, k=13 and d=92.
This code was found by Heurico 1.16 in 2.38 seconds.