The generator matrix 1 0 1 1 1 X^2+X 1 1 X^2+2 1 X+2 1 1 1 0 1 1 X^2+X X^2+2 1 1 1 1 X+2 1 1 0 1 1 X^2+X 1 1 X^2+2 1 X+2 1 1 0 1 X^2+X 1 1 X^2+2 1 1 1 1 X+2 1 1 0 1 1 X^2+X 1 1 2 1 1 X^2+X+2 1 1 0 X^2+X 1 1 1 1 X^2+2 1 1 2 1 1 1 1 X^2+X+2 X^2 1 1 0 2 1 1 1 X+2 X 1 1 X^2+X X^2+X+2 1 0 1 X+1 X^2+X X^2+1 1 X^2+2 X^2+X+3 1 X+2 1 3 X+1 0 1 X^2+X X^2+1 1 1 X^2+2 X^2+X+3 X+2 3 1 0 X+1 1 X^2+X X^2+1 1 X^2+2 X^2+X+3 1 3 1 X+2 X^2+X 1 X+1 1 0 X^2+1 1 X^2+2 X^2+X+3 X+2 3 1 0 X+1 1 X^2+X X^2+1 1 0 X+1 1 X^2+X+2 X^2+3 1 X^2+X X^2+1 1 1 2 X+3 X^2+2 X^2+X+3 1 X+2 X+3 1 X^2+2 X+2 3 3 1 1 X^2+3 X^2 1 1 X X^2+X+1 1 1 1 X^2+1 X^2+3 1 1 X+1 0 0 2 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 0 0 0 0 0 0 2 2 2 2 2 2 2 0 0 0 0 2 2 2 2 0 0 2 0 0 0 0 0 0 2 2 2 2 2 2 0 0 2 2 0 0 2 2 0 2 2 0 0 2 0 0 0 2 2 0 0 2 2 0 2 0 2 2 2 0 2 0 0 0 0 2 0 0 0 0 2 2 2 2 2 2 2 0 2 2 0 2 2 0 0 0 2 0 0 0 2 0 0 2 2 0 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 0 2 2 2 0 0 2 0 2 0 0 2 2 2 0 2 2 0 2 2 2 2 0 2 2 0 0 2 0 0 0 0 0 0 2 0 0 0 0 2 0 0 2 0 0 0 2 2 2 2 2 0 2 2 2 0 2 0 2 0 2 0 0 2 0 2 0 2 0 2 2 2 0 2 0 0 0 2 2 0 0 2 2 2 0 2 2 0 2 0 2 0 0 2 0 2 0 0 0 2 0 0 2 2 0 2 2 2 0 0 0 2 0 2 2 2 0 0 0 2 2 0 2 2 2 0 0 0 0 0 0 0 2 2 2 2 2 0 0 2 2 2 0 2 0 0 0 0 2 2 2 2 0 2 0 2 0 0 2 0 0 2 0 2 0 0 2 0 0 2 2 2 2 2 0 2 0 0 0 2 2 2 2 2 0 0 0 2 2 0 2 0 0 2 0 0 0 2 2 2 2 0 0 0 0 2 0 2 2 0 2 0 0 0 2 0 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+112x^87+638x^88+496x^89+32x^90+288x^91+960x^92+288x^93+32x^94+496x^95+638x^96+112x^97+2x^120+1x^128 The gray image is a code over GF(2) with n=736, k=12 and d=348. This code was found by Heurico 1.16 in 0.891 seconds.