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

generates a code of length 97 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 93.

Homogenous weight enumerator: w(x)=1x^0+106x^93+99x^94+162x^95+284x^96+760x^97+288x^98+136x^99+90x^100+110x^101+4x^102+6x^103+1x^104+1x^190

The gray image is a code over GF(2) with n=776, k=11 and d=372.
This code was found by Heurico 1.16 in 1.24 seconds.