The generator matrix

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

generates a code of length 98 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 94.

Homogenous weight enumerator: w(x)=1x^0+64x^94+286x^95+382x^96+330x^97+246x^98+166x^99+195x^100+134x^101+84x^102+72x^103+44x^104+32x^105+4x^106+4x^107+1x^112+1x^118+1x^126+1x^132

The gray image is a code over GF(2) with n=784, k=11 and d=376.
This code was found by Heurico 1.16 in 0.797 seconds.