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

generates a code of length 95 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 97.

Homogenous weight enumerator: w(x)=1x^0+16x^97+3x^98+8x^99+3x^100+1x^102

The gray image is a code over GF(2) with n=380, k=5 and d=194.
This code was found by Heurico 1.16 in 0.493 seconds.