The generator matrix

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

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+201x^46+244x^47+720x^48+720x^49+1225x^50+1112x^51+1585x^52+1424x^53+1808x^54+1584x^55+1698x^56+1232x^57+1114x^58+616x^59+512x^60+208x^61+237x^62+28x^63+85x^64+21x^66+7x^68+2x^70

The gray image is a code over GF(2) with n=216, k=14 and d=92.
This code was found by Heurico 1.16 in 10.7 seconds.