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 0 2 1 1 1 1 1 1 1 1 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 2 X+3 1 X+2 X+2 X^2+3 X^2+X+1 1 1 X 1 1 3 1 X^2+1 X^2+3 X^2 0 2 X+1 0 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 0 2 0 2 0 2 0 2 0 0 2 2 0 0 2 0 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 0 0 0 0 2 2 0 2 2 0 2 0 2 2 2 0 2 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 2 2 0 0 2 0 2 0 0 0 2 2 2 2 0 0 2 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 0 0 2 0 0 0 2 2 0 0 2 2 2 0 0 2 0 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+160x^85+662x^86+304x^87+140x^88+240x^89+1080x^90+240x^91+143x^92+304x^93+656x^94+160x^95+3x^96+2x^118+1x^124 The gray image is a code over GF(2) with n=720, k=12 and d=340. This code was found by Heurico 1.16 in 0.828 seconds.