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 1 1 1 1 1 1 1 X X 0 X X X 2 2 X X 2 1 2 X X 2 2 1 X 0 1 2 X 2 X 1 X 1 1 0 1 1 0 X 0 0 2 1 0 X 0 0 X 0 0 0 0 0 0 0 0 2 X X X+2 0 X+2 X+2 0 2 X X+2 X X 2 X 2 X 0 X X+2 2 X X+2 0 2 0 2 2 0 X X+2 X+2 X+2 X 0 X 0 X X X+2 X+2 X+2 X+2 X X+2 X 2 2 2 X+2 X X 0 0 X 2 0 X X 0 2 X+2 0 X+2 0 X+2 X X+2 X+2 X X 0 X+2 X 2 0 0 X 2 2 0 2 0 0 X 0 0 0 0 0 0 0 X+2 2 X X X X 0 X X 0 X+2 X+2 0 2 X X X+2 X+2 2 X+2 0 0 2 X 0 X+2 X 2 X+2 X 2 X 2 0 X 0 2 0 X X+2 X X 0 2 2 2 X 0 0 X+2 0 2 X X X+2 X+2 2 X+2 0 2 X 0 X X+2 0 X+2 2 X 2 X 2 2 2 2 2 X X 2 X X 2 X 0 0 0 X 0 0 0 X X+2 X X X+2 0 X 2 0 X+2 X+2 2 X+2 X+2 2 0 X 0 2 X X X X 2 0 2 X 2 2 X 2 X 2 2 X X+2 0 0 X X+2 X+2 X+2 2 X 0 X X X+2 X+2 X X 0 2 2 2 2 0 X+2 X X X X+2 X X 2 2 X+2 2 2 2 X+2 0 X X+2 X+2 2 X+2 X+2 2 0 X+2 X+2 X X 2 0 0 0 0 X 0 X X X 2 X X X 2 2 X+2 X+2 2 X+2 2 X+2 2 X+2 X 2 X 0 X+2 2 X+2 X+2 X X X X+2 X 2 0 2 X 2 2 X 0 0 2 X+2 X+2 2 2 0 2 0 X X+2 0 X+2 X+2 X X+2 0 X+2 X 2 0 X+2 X X+2 X 2 0 X+2 0 2 0 2 0 X X X+2 X+2 X 2 2 0 0 2 0 0 0 2 2 0 0 0 0 0 X X 2 X+2 X+2 X X X+2 0 X 2 2 2 X X+2 0 0 2 2 X 0 X 2 2 X+2 X+2 X+2 X+2 X+2 2 X+2 2 2 X X+2 X+2 0 X+2 X 0 X+2 X X+2 X 0 2 X X 2 0 0 2 0 X X+2 X+2 0 0 0 2 X 2 X 0 0 X 0 2 0 X 2 0 0 X X+2 2 2 X+2 0 X+2 0 X 0 2 X+2 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 0 2 0 0 0 2 2 0 0 0 0 2 2 0 2 2 0 0 0 2 0 2 0 2 2 0 0 0 2 0 2 2 0 0 2 2 0 0 2 0 0 2 0 2 0 0 2 0 0 0 2 2 0 0 0 2 0 2 2 0 0 2 2 0 2 2 2 2 0 2 2 0 2 0 2 0 0 2 2 generates a code of length 92 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 80. Homogenous weight enumerator: w(x)=1x^0+261x^80+36x^81+462x^82+112x^83+665x^84+392x^85+712x^86+788x^87+914x^88+1260x^89+742x^90+1520x^91+937x^92+1496x^93+784x^94+1272x^95+701x^96+772x^97+646x^98+384x^99+561x^100+128x^101+332x^102+20x^103+231x^104+12x^105+134x^106+67x^108+28x^110+11x^112+2x^116+1x^120 The gray image is a code over GF(2) with n=368, k=14 and d=160. This code was found by Heurico 1.16 in 48.8 seconds.