The generator matrix

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

generates a code of length 97 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 92.

Homogenous weight enumerator: w(x)=1x^0+274x^92+640x^93+1256x^94+960x^95+1272x^96+638x^97+885x^98+428x^99+552x^100+304x^101+317x^102+256x^103+215x^104+78x^105+83x^106+20x^107+4x^108+4x^109+1x^110+2x^112+1x^114+1x^122

The gray image is a code over GF(2) with n=776, k=13 and d=368.
This code was found by Heurico 1.16 in 1.7 seconds.