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 0 X 1 X 1 1 1 1 1 1 1 1 1 1 1 0 1 1 X 1 2 1 1 1 1 1 0 1 0 X 1 1 0 1 2 2 1 1 1 2 1 2 X 1 1 X X 1 1 1 0 1 X X 0 X 0 X 0 0 X X+2 0 2 X+2 X 0 X X 2 2 0 X X+2 0 0 X+2 X+2 2 X+2 X 2 2 X X 0 X+2 0 2 X 2 X 0 2 X 2 0 X X+2 X+2 X+2 0 X+2 0 2 X 2 X 0 0 X 2 X+2 X+2 X 0 X X 0 X+2 2 0 2 0 X X X+2 X+2 X+2 2 X+2 X 2 2 2 X 0 X 2 X+2 2 0 0 0 0 0 X X 0 X+2 X 0 2 X 0 X 0 X+2 2 X+2 X 0 X 2 X+2 0 2 X 2 X 2 0 X X+2 2 X+2 0 X X 0 X X 0 X X+2 X X+2 X X+2 X+2 2 0 X 0 0 0 2 X X+2 2 X+2 0 2 0 2 0 0 X+2 X 0 X X X X+2 X+2 X X X+2 X X X X X+2 2 X+2 X X+2 2 2 0 X X X+2 0 0 0 0 2 0 0 0 0 2 2 2 0 2 2 2 2 2 0 2 2 2 2 2 2 2 2 0 0 2 2 0 0 2 2 2 2 0 2 0 0 2 2 2 2 0 0 0 0 0 2 2 2 0 0 2 0 0 2 0 2 0 0 0 0 2 0 2 0 2 0 0 2 0 2 0 0 2 0 2 0 0 2 0 2 0 2 2 2 0 0 0 0 0 0 2 0 0 0 0 0 0 2 2 2 0 0 0 0 2 2 2 2 2 0 2 0 2 0 2 2 0 0 0 2 2 2 2 0 0 2 2 0 0 0 0 0 2 0 2 0 2 2 2 0 0 2 2 0 0 2 2 2 2 0 2 2 2 0 0 0 0 2 0 0 2 0 2 2 0 0 2 0 2 0 0 2 2 2 0 0 0 0 0 0 0 2 0 0 0 2 0 2 2 0 2 0 2 0 0 2 2 0 0 0 0 2 2 2 2 0 0 2 0 2 0 2 2 2 2 0 2 0 0 0 2 2 2 2 0 2 2 2 2 2 0 0 2 0 2 0 0 0 2 0 2 0 0 0 2 2 2 0 0 2 0 2 0 2 2 0 2 2 2 0 2 2 2 0 2 0 0 0 0 0 0 0 2 0 2 2 2 2 2 0 2 2 0 2 2 0 2 0 0 2 0 2 2 2 2 2 2 0 0 0 2 2 2 0 0 0 2 2 0 2 2 2 0 2 2 0 0 2 2 0 2 0 0 0 0 2 2 2 0 0 2 0 0 2 0 2 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 0 0 2 2 0 0 0 0 0 0 0 2 0 0 0 2 0 2 2 0 0 2 0 2 0 0 2 0 2 2 0 0 2 2 0 2 2 0 0 0 2 2 0 2 2 2 2 2 0 2 0 2 0 0 2 2 0 0 2 2 0 0 2 0 0 0 2 0 2 0 0 2 0 0 0 0 2 2 2 0 0 2 0 2 2 2 2 0 0 2 0 2 0 0 generates a code of length 90 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 80. Homogenous weight enumerator: w(x)=1x^0+84x^80+209x^82+28x^83+280x^84+88x^85+361x^86+160x^87+446x^88+216x^89+494x^90+248x^91+385x^92+200x^93+284x^94+64x^95+199x^96+8x^97+119x^98+12x^99+96x^100+51x^102+36x^104+18x^106+6x^108+2x^112+1x^140 The gray image is a code over GF(2) with n=360, k=12 and d=160. This code was found by Heurico 1.16 in 2.38 seconds.