The generator matrix

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

generates a code of length 54 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+50x^48+124x^50+32x^51+84x^52+224x^53+16x^54+224x^55+72x^56+32x^57+112x^58+40x^60+5x^64+4x^66+3x^68+1x^100

The gray image is a code over GF(2) with n=216, k=10 and d=96.
This code was found by Heurico 1.16 in 0.138 seconds.