The generator matrix

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

generates a code of length 92 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 86.

Homogenous weight enumerator: w(x)=1x^0+250x^86+788x^87+1343x^88+1618x^89+2071x^90+1892x^91+1782x^92+1628x^93+1454x^94+1066x^95+868x^96+522x^97+476x^98+304x^99+137x^100+88x^101+34x^102+30x^103+18x^104+9x^106+2x^108+2x^110+1x^116

The gray image is a code over GF(2) with n=736, k=14 and d=344.
This code was found by Heurico 1.16 in 4.42 seconds.