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 X 2 X 1 X 1 X X 1 1 1 X 1 0 X 1 0 1 2 1 X X X 1 2 X 1 X 1 X 1 2 1 X 2 X 1 2 1 1 X 0 X 0 0 0 X X+2 X 0 2 2 X X+2 X X 0 0 0 2 X+2 X+2 2 0 X+2 X+2 X 0 X 2 0 X X X+2 X X 0 2 2 X+2 X X X X+2 X X 0 2 X 2 2 2 0 0 0 X+2 X X X X+2 X+2 0 2 2 0 X+2 2 X X+2 2 X 0 X+2 2 0 X X+2 X X+2 0 2 0 0 X 0 X X X+2 0 0 0 X X X 0 2 X+2 X 0 2 2 0 0 X+2 X X+2 2 2 X+2 X X 0 X+2 2 0 0 0 X+2 2 X 2 0 2 X X+2 X+2 2 X+2 2 2 X+2 X+2 X+2 X X+2 X 0 0 X 0 0 X 2 2 0 X+2 0 X X+2 X+2 0 X X+2 X+2 X X X+2 2 2 0 2 0 0 0 X X 0 X+2 X 2 X 2 0 X 2 X+2 X 2 2 X X+2 2 X X+2 X+2 0 X 0 2 2 X+2 2 X 2 0 X+2 0 X 0 2 X X X 2 0 X X X+2 2 X+2 0 X X 0 0 X+2 X+2 0 2 X+2 2 0 X+2 0 X 0 X X+2 X+2 X 0 X+2 2 X+2 X+2 0 X 0 0 X+2 X+2 0 0 0 0 2 0 0 0 2 2 2 2 2 0 0 2 2 0 2 2 0 2 0 0 2 0 0 2 2 2 2 0 2 2 0 2 2 2 0 2 2 2 2 2 2 2 0 2 0 0 2 0 0 2 2 0 2 0 0 2 0 0 0 0 2 2 2 2 0 0 2 0 2 2 0 0 0 2 0 2 0 0 0 0 0 2 0 0 0 2 0 2 2 2 0 0 2 2 2 2 0 0 0 0 0 2 0 0 2 0 2 2 0 0 2 2 2 0 0 0 2 0 0 2 0 2 2 0 0 0 0 2 2 2 2 0 2 2 2 2 2 2 0 0 0 0 2 0 2 0 2 0 0 2 0 0 0 2 0 2 0 0 0 0 0 0 2 0 2 0 0 2 2 2 0 0 2 0 2 2 2 0 0 0 2 0 2 2 0 2 0 2 2 0 2 0 2 0 0 0 2 2 0 0 0 0 2 2 2 0 0 2 0 2 2 0 2 0 0 2 2 0 2 2 2 2 2 0 2 2 2 2 2 0 0 2 2 2 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 0 0 2 0 0 0 2 2 2 2 2 2 2 0 0 0 2 2 0 2 0 0 2 2 0 2 2 0 2 0 2 2 0 0 0 0 2 0 2 2 2 2 0 2 2 2 2 0 2 2 0 2 2 0 0 2 0 2 0 0 0 0 2 0 0 2 0 generates a code of length 80 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 70. Homogenous weight enumerator: w(x)=1x^0+204x^70+4x^71+451x^72+76x^73+555x^74+176x^75+702x^76+288x^77+823x^78+456x^79+818x^80+488x^81+810x^82+336x^83+695x^84+160x^85+461x^86+52x^87+284x^88+12x^89+157x^90+98x^92+47x^94+20x^96+14x^98+1x^100+1x^102+1x^104+1x^112 The gray image is a code over GF(2) with n=320, k=13 and d=140. This code was found by Heurico 1.16 in 17.5 seconds.