The generator matrix

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

generates a code of length 99 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 94.

Homogenous weight enumerator: w(x)=1x^0+267x^94+830x^95+940x^96+1312x^97+850x^98+844x^99+667x^100+746x^101+420x^102+432x^103+321x^104+202x^105+79x^106+134x^107+80x^108+44x^109+11x^110+6x^112+5x^114+1x^124

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 1.64 seconds.