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

generates a code of length 96 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 98.

Homogenous weight enumerator: w(x)=1x^0+3x^98+24x^99+3x^100+1x^102

The gray image is a code over GF(2) with n=384, k=5 and d=196.
This code was found by Heurico 1.16 in 0.514 seconds.