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

generates a code of length 51 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+18x^48+28x^49+47x^50+76x^51+46x^52+20x^53+8x^54+4x^55+7x^56+1x^98

The gray image is a code over GF(2) with n=204, k=8 and d=96.
This code was found by Heurico 1.16 in 0.0639 seconds.