The generator matrix

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

generates a code of length 99 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 95.

Homogenous weight enumerator: w(x)=1x^0+72x^95+325x^96+256x^97+401x^98+164x^99+237x^100+184x^101+224x^102+64x^103+76x^104+24x^105+12x^106+4x^107+2x^110+1x^138+1x^140

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 0.843 seconds.