The generator matrix

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

generates a code of length 54 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 49.

Homogenous weight enumerator: w(x)=1x^0+50x^49+254x^50+232x^51+286x^52+242x^53+258x^54+158x^55+114x^56+94x^57+107x^58+70x^59+70x^60+30x^61+28x^62+18x^63+33x^64+1x^66+2x^67

The gray image is a code over GF(2) with n=216, k=11 and d=98.
This code was found by Heurico 1.16 in 0.19 seconds.