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

generates a code of length 97 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 93.

Homogenous weight enumerator: w(x)=1x^0+256x^93+666x^94+724x^95+474x^96+548x^97+331x^98+316x^99+190x^100+180x^101+140x^102+68x^103+68x^104+64x^105+44x^106+20x^107+1x^108+2x^110+1x^112+1x^116+1x^122

The gray image is a code over GF(2) with n=776, k=12 and d=372.
This code was found by Heurico 1.16 in 0.625 seconds.