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

generates a code of length 99 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 93.

Homogenous weight enumerator: w(x)=1x^0+98x^93+238x^94+314x^95+373x^96+386x^97+473x^98+514x^99+465x^100+400x^101+298x^102+178x^103+57x^104+102x^105+87x^106+34x^107+31x^108+22x^109+14x^110+9x^112+1x^114+1x^162

The gray image is a code over GF(2) with n=792, k=12 and d=372.
This code was found by Heurico 1.16 in 1.66 seconds.