The generator matrix

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

generates a code of length 92 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 87.

Homogenous weight enumerator: w(x)=1x^0+204x^87+760x^88+1108x^89+1148x^90+1008x^91+840x^92+786x^93+567x^94+504x^95+405x^96+264x^97+229x^98+152x^99+101x^100+50x^101+37x^102+20x^103+4x^104+1x^108+2x^110+1x^114

The gray image is a code over GF(2) with n=736, k=13 and d=348.
This code was found by Heurico 1.16 in 1.42 seconds.