The generator matrix 1 0 0 0 1 1 1 X+2 X^2+X 1 1 X^2+X 1 1 0 1 1 1 X^2+2 1 2 1 1 1 X 1 X X^2+X+2 X^2 1 2 X 1 X^2+X+2 1 0 X+2 X^2+2 X^2 1 1 1 0 X^2 1 1 1 2 X^2+2 1 X+2 X^2+2 1 1 1 1 1 1 1 X X X^2+2 0 1 X^2+X+2 1 1 X X^2+X 1 1 2 1 1 X^2+X+2 X^2 1 X^2+X X 1 1 1 X^2+X 1 1 X^2 X+2 X^2+X X^2 1 X+2 X^2 0 1 0 0 2 X^2+3 X+3 1 0 X^2+2 X^2 1 X+1 X^2+X+1 1 1 2 X^2+2 2 2 1 X^2+1 X^2 1 1 3 1 X^2+X 1 X^2+X X^2+X+2 1 3 X+2 X+3 X+2 1 1 1 X^2+X X^2+X+2 X^2 1 1 X+3 X+2 X^2+3 X^2+2 0 X^2+X+1 1 X 2 X^2+X X X^2+2 X^2+X+3 1 X^2+X 1 1 1 X^2+X X+3 X X^2+1 X+3 0 X^2 0 X+1 1 X+2 X X^2+2 1 X+1 1 1 X+2 X+3 X^2+3 1 X^2+1 X+2 X 1 1 1 X^2 X^2 1 0 0 1 0 X^2+2 2 X^2 X^2 1 X^2+X+1 1 X+1 X^2+1 X^2+X+3 X^2+3 X+3 X^2+1 X+1 1 X^2+X+2 X^2+X+1 X^2+X+1 X^2 X^2 X^2+X X+2 X^2+X+2 X^2+X+2 1 X+1 1 X^2+X+1 3 1 2 2 X^2+2 X^2 X^2+1 3 X^2 X^2+X+2 X^2+X+2 X^2+X+1 X X+1 X+2 1 1 X^2+X+2 X 1 X X^2+1 1 X^2+1 X^2+X+1 X^2+X+3 X^2 X^2+X+1 1 X X+2 X^2+X 1 X^2+1 X+3 X^2 X+2 X^2+2 X^2 X^2 X^2+X+3 X+2 1 X+3 3 2 X^2+1 X^2+3 3 X+2 X X+1 X+2 1 X^2+1 X+2 X X^2 1 X^2+3 0 0 0 1 X^2+X+1 X^2+X+3 2 X+1 X^2+1 X+1 0 X+1 3 X^2+X X+2 X^2+X+3 X^2+3 X^2+X+2 X+3 1 X^2+1 X+2 X X^2+X X+3 X^2+1 0 1 2 X^2 X^2+3 X^2+X+2 X^2+X X^2+X+2 X 1 1 X+2 1 X+3 X^2+3 X^2+2 2 X+2 X+3 X+3 0 X^2+X 3 X^2+1 X^2+3 X^2+X X^2+X X^2+X+2 3 X+2 X^2+X+3 1 X X^2+2 X^2+3 X+1 1 2 X^2+1 1 X^2 1 1 X^2+3 1 X^2+X+1 X^2+1 X^2+2 0 X^2 X^2+3 X^2+X 2 1 X+1 X X^2+1 X^2+X X^2+X+2 X^2+X+3 X^2+X X X^2+X+2 X^2+2 X+1 X^2+3 generates a code of length 92 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 85. Homogenous weight enumerator: w(x)=1x^0+882x^85+2034x^86+3294x^87+4454x^88+5736x^89+6084x^90+7284x^91+6988x^92+7200x^93+6309x^94+4994x^95+3871x^96+2910x^97+1583x^98+1072x^99+441x^100+194x^101+73x^102+72x^103+28x^104+18x^105+5x^106+4x^107+1x^108+4x^109 The gray image is a code over GF(2) with n=736, k=16 and d=340. This code was found by Heurico 1.16 in 56.4 seconds.