The generator matrix 1 0 0 0 1 1 1 X^2+2 1 1 1 1 X^2 2 X^2+X+2 1 1 X 1 X^2+X+2 1 X^2 1 X^2+X X+2 1 X^2+X 1 0 1 X^2 1 1 X X+2 1 1 1 2 0 X^2+X+2 X X^2+X+2 1 1 2 X^2+X 1 1 X 1 1 2 1 X X^2+X 1 1 1 1 1 1 X 1 X X+2 0 X^2 1 X^2+X 1 X^2 1 1 X^2+X+2 X^2+X+2 1 1 1 1 0 1 0 0 X X^2+1 X^2+X+3 1 X^2+X X+3 X^2 X^2+3 1 X 1 1 X^2+X+3 X X^2+X 1 X+2 X^2+X X+2 1 1 X+1 1 X^2+X+3 X+2 X^2+X 1 3 X+3 2 X+2 X^2+X+1 X 1 2 1 1 1 X^2+X+2 0 X X 1 X+2 X 1 0 X^2+X+3 1 X^2+1 1 X^2+X+2 X^2 X+1 X^2+X+1 X^2 X^2 X^2+1 X^2+X+2 0 1 1 1 1 X^2+X+2 X^2+X+2 X+3 1 1 0 X^2+X+2 1 2 1 X+3 X+2 0 0 1 0 0 X^2 2 1 1 X^2+1 3 1 X+1 1 0 X^2+X+2 X 1 X X^2+X+1 X^2+X+3 X+2 X^2+2 2 X^2+X+2 X+3 X^2+1 X^2+3 1 X+1 X+2 2 2 X^2+X 1 X^2+X+1 X^2+2 X^2+3 1 X^2+2 X+3 X+2 1 X+1 X+1 X^2 3 X^2+1 X^2+X+2 X+2 X+1 3 X^2+X+3 X 0 0 2 X^2+X+1 X+2 X+3 X^2+X+2 X+2 1 X+3 3 X^2+X+3 X^2+X+3 X^2 X+1 1 X^2+X+2 X X+1 X+3 1 X+3 3 X+1 2 2 0 0 0 1 1 X^2+X+1 X+2 X^2+X+1 X^2+X X^2+3 X+1 2 X+2 1 X+1 X^2+2 3 X^2+1 1 X^2+1 0 1 X^2+2 2 X+3 X^2+2 X X^2+X+3 X 3 X^2+3 X 3 1 X+2 X X+1 X+3 X+3 X^2+X+2 X+3 1 X^2+2 X+2 X^2+X+1 1 1 2 X+2 X X^2 X X^2 X^2 X+3 1 X^2+1 1 X+1 X^2+X 3 X^2+X+2 X^2+X+1 X^2+3 X^2+X+1 X^2 X^2+X X^2+X+2 1 X^2 X+3 X+3 X+3 X+3 1 3 X^2+X+2 X^2+X X^2+X+2 X^2+1 0 0 0 0 X^2 0 X^2 0 X^2 X^2 0 0 X^2+2 X^2 X^2 2 X^2+2 2 2 X^2+2 2 X^2 X^2+2 X^2+2 0 X^2 2 2 X^2+2 0 0 X^2 X^2+2 2 X^2 X^2+2 0 X^2+2 X^2+2 0 2 X^2 0 X^2 X^2 2 X^2+2 X^2 0 X^2+2 0 0 2 X^2+2 2 X^2 2 2 X^2+2 0 0 2 0 X^2+2 X^2+2 X^2 2 X^2 X^2+2 2 2 0 X^2 X^2+2 X^2 X^2 2 2 X^2+2 2 generates a code of length 80 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 71. Homogenous weight enumerator: w(x)=1x^0+306x^71+1354x^72+3090x^73+6382x^74+9830x^75+15016x^76+20642x^77+26479x^78+30884x^79+32739x^80+31814x^81+28104x^82+20706x^83+15102x^84+9402x^85+5253x^86+2666x^87+1374x^88+568x^89+239x^90+110x^91+36x^92+20x^93+4x^94+8x^95+8x^96+3x^98+2x^99+2x^100 The gray image is a code over GF(2) with n=640, k=18 and d=284. This code was found by Heurico 1.16 in 676 seconds.