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 1 1 1 1 1 X X 1 2 1 1 1 1 1 2 1 X 1 0 1 1 X 1 1 X 0 1 1 2 1 2 1 0 1 0 X 0 1 1 X 2 2 1 1 1 1 1 2 X X 0 X 0 0 0 X X+2 X 0 2 2 0 X X+2 X X+2 X+2 X+2 X+2 2 0 0 X+2 2 0 2 X X X+2 2 X+2 X X+2 2 2 0 0 0 X+2 X+2 X+2 2 0 2 2 0 X+2 X X+2 2 X 2 0 2 0 X X 0 2 0 X X 2 0 X X 2 X X+2 X 2 X X X X+2 X 2 2 X+2 X X X+2 0 0 2 0 2 2 X+2 0 0 X 0 X X X+2 0 0 0 X+2 X+2 X X 2 0 X 2 0 X+2 X+2 2 X+2 2 X+2 0 2 2 X+2 X+2 0 X+2 0 2 0 X+2 2 X X+2 X X X 0 2 X 2 X+2 2 0 X 2 2 X+2 X X+2 0 0 X X+2 X+2 2 2 X+2 X 0 2 0 0 2 X+2 X 0 X 0 X+2 X+2 X+2 X X X+2 X+2 2 0 0 X 2 X X 2 0 0 0 X X 0 X+2 X 2 X+2 X 2 2 X X 2 0 X+2 0 X 2 X X 0 2 X 0 X+2 X X X+2 2 X+2 0 0 X X+2 X 0 0 X+2 X+2 X 0 2 X X X 0 2 X X+2 0 X 2 X X+2 0 0 0 X+2 2 X 2 2 X X+2 2 X 2 X+2 X+2 0 0 2 X 0 0 X X 0 X+2 0 X+2 X X+2 X X+2 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 2 2 2 2 2 0 2 2 0 2 0 2 2 0 0 0 2 2 0 0 0 2 2 0 2 2 2 2 2 0 2 2 0 0 2 0 0 0 2 2 0 2 2 0 0 0 0 0 0 2 2 0 0 2 0 2 2 2 0 2 2 2 0 2 0 2 2 0 0 0 0 2 2 0 0 0 0 0 0 2 0 2 0 0 2 2 0 2 2 0 0 0 2 2 2 0 0 2 2 2 0 0 0 0 0 2 2 0 2 2 0 0 2 2 0 2 2 2 2 2 2 2 2 0 0 2 0 2 2 0 2 2 0 2 0 2 0 0 0 2 2 2 0 0 0 0 2 2 0 0 2 2 2 2 2 0 2 2 2 2 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 0 0 0 0 0 2 0 2 0 2 2 2 2 2 2 0 0 0 2 0 2 0 2 2 2 2 0 0 2 2 2 2 2 0 2 2 0 2 0 2 0 0 2 0 0 0 0 0 0 2 0 0 2 2 2 2 2 2 2 0 0 0 0 2 2 2 2 0 2 2 2 0 2 2 0 0 generates a code of length 89 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 80. Homogenous weight enumerator: w(x)=1x^0+140x^80+4x^81+294x^82+40x^83+348x^84+144x^85+431x^86+196x^87+442x^88+280x^89+390x^90+196x^91+351x^92+80x^93+243x^94+76x^95+149x^96+4x^97+126x^98+4x^99+76x^100+37x^102+27x^104+14x^106+1x^108+1x^110+1x^136 The gray image is a code over GF(2) with n=356, k=12 and d=160. This code was found by Heurico 1.16 in 2.26 seconds.