The generator matrix

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

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+232x^94+640x^95+784x^96+652x^97+384x^98+332x^99+208x^100+228x^101+144x^102+164x^103+154x^104+64x^105+64x^106+32x^107+8x^108+2x^112+2x^116+1x^120

The gray image is a code over GF(2) with n=784, k=12 and d=376.
This code was found by Heurico 1.16 in 0.672 seconds.