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

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+122x^94+78x^95+192x^96+252x^97+784x^98+236x^99+191x^100+64x^101+107x^102+6x^103+7x^104+4x^105+2x^106+1x^108+1x^190

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 1.58 seconds.