The generator matrix 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 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 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 X^2+2 X^2+X 0 X^2+X X^2+2 X+2 X^2+X 0 X+2 X^2+2 2 X+2 X^2 X^2+X X^2+X+2 0 X^2+2 X+2 0 X^2+X X^2+2 X+2 0 X^2+X X^2+2 X+2 0 X^2+X X^2+2 X+2 2 X^2+X+2 X^2 X 2 X^2+X+2 X^2 X 0 X^2+X 2 X^2+X+2 X^2+2 X+2 X^2 X X^2+2 X^2+X X^2+X+2 X^2 X^2+2 X^2+X X^2 X^2+X+2 0 0 2 X+2 X+2 X 2 X 0 X^2+X 0 2 2 X^2+X X^2+X+2 X^2+X+2 0 2 X^2+X X^2+X+2 X^2+2 X+2 X^2+2 2 X^2 X^2+X X X+2 0 X^2+X+2 X X+2 X X^2+X 0 0 2 0 0 0 2 0 2 0 2 2 0 2 2 0 2 0 2 0 0 2 2 2 0 0 2 2 2 0 0 2 2 0 0 2 0 2 2 0 2 0 2 0 0 2 0 2 0 2 2 0 0 2 0 2 2 2 2 0 0 0 2 0 0 0 0 0 0 2 2 0 2 2 0 0 2 2 0 0 2 2 2 2 2 2 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 0 0 0 2 2 2 2 2 0 0 2 0 2 2 0 0 2 0 2 0 2 2 0 2 0 0 0 2 2 2 0 0 0 2 2 0 2 2 0 2 2 2 2 0 0 2 2 2 0 0 0 0 2 2 0 2 0 0 0 0 0 2 0 2 2 2 0 0 2 2 2 0 2 0 2 0 2 0 2 2 0 2 2 0 0 2 0 0 2 0 0 2 0 0 0 2 0 0 2 2 2 0 2 2 2 2 0 2 0 0 2 2 0 0 0 2 0 2 0 2 2 2 0 0 0 2 0 2 2 2 2 2 0 0 2 2 2 0 0 2 0 2 2 0 2 2 0 0 0 0 0 0 2 0 2 2 2 2 2 2 0 2 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 0 2 0 2 2 2 2 0 2 0 0 2 0 2 2 0 0 0 0 0 2 0 2 2 0 2 2 2 0 0 0 2 0 2 0 0 2 0 2 0 2 0 2 2 2 0 2 2 2 0 0 2 2 0 0 2 2 generates a code of length 90 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 85. Homogenous weight enumerator: w(x)=1x^0+66x^85+70x^86+74x^87+47x^88+52x^89+1428x^90+52x^91+47x^92+74x^93+70x^94+66x^95+1x^180 The gray image is a code over GF(2) with n=720, k=11 and d=340. This code was found by Heurico 1.16 in 0.953 seconds.