The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+546x^93+438x^94+634x^95+339x^96+588x^97+270x^98+450x^99+216x^100+278x^101+122x^102+118x^103+20x^104+40x^105+14x^107+4x^109+16x^111+2x^138

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 84.9 seconds.