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 X 0 1 1 1 1 X X 0 1 0 X 1 1 1 1 1 0 1 X 1 1 1 0 1 X 1 1 1 1 0 1 X X X 0 X 1 0 1 1 2 X X 1 1 X 1 0 X 0 X+2 0 X+2 0 X+2 0 X+2 2 X+2 0 X+2 X 2 X+2 0 2 0 X X 2 X+2 0 2 0 2 X+2 X+2 X X X+2 X 0 0 X+2 X+2 X+2 X+2 X X+2 X X+2 X+2 X+2 X 0 2 X X+2 X+2 X X X+2 X 0 X+2 2 2 X+2 2 X 2 X+2 X X+2 X X+2 0 X X 2 0 X X+2 X 2 2 0 0 0 2 0 0 0 0 0 0 0 2 0 2 0 0 2 2 0 2 2 2 2 0 2 0 2 2 0 0 2 2 0 0 0 0 0 0 2 2 2 2 2 0 0 2 2 0 0 0 2 0 0 0 0 0 2 2 2 2 0 2 2 2 2 0 0 2 2 2 0 2 2 0 0 2 2 2 2 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 2 0 2 0 0 0 2 2 0 0 2 2 2 2 0 2 0 2 0 2 0 2 0 2 2 0 2 0 0 2 2 2 0 2 0 0 2 0 2 2 2 0 2 0 2 0 2 2 0 0 2 2 0 2 0 0 0 2 2 2 2 0 0 0 0 2 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 2 0 2 0 0 0 0 2 2 2 2 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 2 2 0 0 0 2 2 2 2 0 2 0 2 0 0 2 0 2 2 2 2 2 2 2 0 0 0 0 2 2 0 2 2 2 2 0 0 0 0 0 2 0 0 0 2 0 2 0 2 0 0 2 2 2 2 2 0 2 0 0 2 2 0 0 2 2 0 0 2 0 0 2 0 2 0 0 2 2 2 0 0 0 2 2 0 0 2 0 0 0 0 0 2 0 0 2 2 0 2 2 2 2 2 0 0 2 2 0 0 2 0 0 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 2 2 2 2 0 2 2 2 2 0 0 2 2 2 0 0 2 0 2 2 0 0 0 0 2 2 0 0 2 0 0 0 0 2 0 2 2 0 2 2 0 2 2 0 0 0 0 2 0 0 2 0 2 2 2 2 2 0 0 0 0 2 2 0 0 0 0 0 0 0 0 0 2 0 2 0 0 0 0 2 0 2 2 2 2 2 0 2 2 2 0 0 2 0 0 2 2 0 0 2 0 0 0 2 2 0 2 2 0 2 0 2 2 0 0 2 0 0 0 2 0 0 0 2 2 2 2 0 2 2 0 0 2 0 2 2 0 2 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 2 2 0 0 2 0 0 2 0 0 2 2 0 2 2 0 0 0 2 0 2 0 0 0 2 0 2 0 2 0 2 2 2 0 2 2 2 0 2 2 2 2 0 2 2 2 0 0 0 0 0 0 2 2 2 0 2 0 2 0 2 2 2 0 2 generates a code of length 80 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 69. Homogenous weight enumerator: w(x)=1x^0+12x^69+57x^70+76x^71+105x^72+164x^73+96x^74+252x^75+106x^76+470x^77+121x^78+592x^79+118x^80+520x^81+108x^82+464x^83+96x^84+296x^85+74x^86+132x^87+51x^88+68x^89+29x^90+20x^91+16x^92+6x^93+17x^94+11x^96+6x^98+5x^100+3x^102+2x^104+1x^106+1x^116 The gray image is a code over GF(2) with n=320, k=12 and d=138. This code was found by Heurico 1.16 in 7.16 seconds.