The generator matrix

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

generates a code of length 91 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 87.

Homogenous weight enumerator: w(x)=1x^0+288x^87+42x^88+200x^89+224x^90+656x^91+198x^92+32x^93+32x^94+336x^95+12x^96+24x^97+2x^116+1x^128

The gray image is a code over GF(2) with n=728, k=11 and d=348.
This code was found by Heurico 1.16 in 0.625 seconds.