The generator matrix

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

generates a code of length 99 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 95.

Homogenous weight enumerator: w(x)=1x^0+94x^95+91x^96+128x^97+262x^98+908x^99+265x^100+116x^101+74x^102+94x^103+10x^104+4x^105+1x^196

The gray image is a code over GF(2) with n=792, k=11 and d=380.
This code was found by Heurico 1.16 in 1.33 seconds.