The generator matrix

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

generates a code of length 99 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 94.

Homogenous weight enumerator: w(x)=1x^0+259x^94+918x^95+818x^96+1170x^97+1039x^98+956x^99+639x^100+654x^101+407x^102+408x^103+295x^104+276x^105+117x^106+118x^107+62x^108+28x^109+16x^111+8x^112+2x^118+1x^132

The gray image is a code over GF(2) with n=792, k=13 and d=376.
This code was found by Heurico 1.16 in 1.84 seconds.