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

generates a code of length 98 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 97.

Homogenous weight enumerator: w(x)=1x^0+66x^97+20x^98+14x^99+6x^100+6x^101+4x^102+2x^103+8x^105+1x^136

The gray image is a code over GF(2) with n=392, k=7 and d=194.
This code was found by Heurico 1.16 in 0.901 seconds.