The generator matrix

 1  0  0  1  1  1  0  1  2  1  1  2  1 X+2 X+2  1 X+2  1  1  0  1  1  1  2  1  2  1  X  1  X  X  1  1  1  1  1  2  0  0  1  1  X  1  X  1 X+2  1 X+2  1  2  2  1  1 X+2  1  1  0  1  1  1  1  0  1  X  2  1  1  1  1  1  X  1  X  X  1  1  1  1  1  0  1  1  1  1  1  1 X+2  1  1  2  2 X+2 X+2  1  X X+2  1
 0  1  0  0  1  3  1  X  1  1  2  1  3 X+2  1  X  1  0 X+3 X+2 X+3 X+2  3  1  0  0 X+1  1 X+3  1  1  3  2 X+2  X  X  1  2  1  1 X+2  2 X+1  1  3  1  1  1  2  1  1 X+2  2  X  X  2  1 X+1 X+1 X+2  1  1  2  1  1 X+1  3 X+1  3 X+2  1  0  1 X+2  0  3 X+3 X+2 X+3  1 X+1  2  0 X+3 X+2 X+3  1  0  2 X+2  1  1  1  0  1  1 X+3
 0  0  1 X+1 X+3  0 X+1  1  X  1  X  3 X+2  1  X  X X+3  3  1  1  X X+1  3  3 X+2  1 X+2  2  2  3 X+2 X+3 X+2 X+1  X  0 X+1  1 X+2  2  1  1  3  0  3 X+2  X  3 X+3 X+2 X+1 X+2  1  1  0  X X+1  X  0 X+3  1  2  2 X+3  3  3 X+2 X+2 X+3 X+2  1  2 X+1  1  2  X X+1 X+1 X+3  0  0 X+1  3  2  3  0  X X+1  3  1  0  X X+1  2  1  2 X+3
 0  0  0  2  0  0  0  0  0  2  2  2  2  2  2  2  2  2  2  2  0  0  0  0  0  0  2  0  0  0  2  0  0  2  0  2  2  2  2  2  0  2  0  2  2  0  0  2  0  2  0  2  0  0  0  2  2  0  2  0  0  2  2  0  0  0  0  2  2  0  2  0  0  0  2  2  2  2  0  2  2  0  0  2  0  0  0  2  2  0  0  2  2  2  2  0  2
 0  0  0  0  2  2  2  0  2  2  0  2  2  0  2  2  0  2  0  2  0  2  0  0  2  2  0  0  2  2  0  0  0  2  2  2  2  2  2  0  2  0  2  2  0  0  0  0  2  0  0  0  0  2  0  2  0  2  0  0  2  2  2  0  2  0  2  2  2  0  2  2  2  0  2  0  2  0  2  0  2  0  2  0  2  0  2  2  0  2  2  0  0  0  0  0  2

generates a code of length 97 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 92.

Homogenous weight enumerator: w(x)=1x^0+323x^92+502x^94+393x^96+280x^98+222x^100+122x^102+53x^104+52x^106+57x^108+36x^110+4x^112+2x^116+1x^120

The gray image is a code over GF(2) with n=388, k=11 and d=184.
This code was found by Heurico 1.16 in 0.819 seconds.