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

generates a code of length 97 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 94.

Homogenous weight enumerator: w(x)=1x^0+174x^94+106x^95+176x^96+176x^97+142x^98+100x^99+110x^100+2x^102+2x^103+32x^104+1x^120+1x^126+1x^134

The gray image is a code over GF(2) with n=776, k=10 and d=376.
This code was found by Heurico 1.16 in 1.55 seconds.