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  0  1  1  1  1  1 2X  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  X  X  X  2  0 2X+2  X 2X  2  X  X  X  X  X  2  X  0 2X  X 2X+2 2X 2X  2  X  X  0  2 2X  X  1
 0  X  0  X  0  0  X  X  2 X+2  2 X+2  2  2 X+2 X+2  0  0  X  X  0  0  X  X  2  2 X+2 2X X+2  2  2 X+2 X+2 2X 2X 2X 3X 3X 2X+2 2X+2 3X+2 3X+2 2X 2X 3X 3X 2X+2 2X+2 3X+2 3X+2 2X 2X 3X 3X 2X 2X 3X 3X 2X+2 2X+2 3X+2 3X+2 2X+2 2X+2 3X+2 3X+2  X X+2  X 3X+2  2  X  X 2X+2  X  X  2 3X 3X+2 3X X+2 2X+2  0  0  X 2X  X  2  X  X  2  0 2X+2  0  0  2  0
 0  0  X  X 2X+2 X+2 3X+2  2  2 X+2 3X 2X 3X+2 2X 3X 2X+2 2X 3X+2 3X 2X+2 3X  2 X+2 2X 2X+2  X 3X+2  X  0  0 X+2  X  2  X 2X 3X+2 3X 2X+2 2X+2 3X 3X+2 2X  2  X X+2  0  0 X+2  X  2  0 X+2 3X+2 2X 2X+2 3X  X  2  2  X X+2  0 2X 3X+2 3X 2X+2  X  0 3X+2  2  X  0 3X 3X 2X+2 3X+2 X+2  X 2X 3X+2 2X+2  X X+2  X 2X 3X X+2  X  2 2X  X 3X  X  0  X 3X  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+98x^94+202x^95+177x^96+204x^97+115x^98+106x^99+48x^100+16x^101+20x^102+16x^103+8x^104+5x^108+5x^110+1x^112+1x^114+1x^130

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 0.718 seconds.