The generator matrix 1 0 1 1 1 X+2 1 1 0 X+2 1 1 1 1 X 1 2 1 X+2 1 1 0 1 1 X 1 2 1 1 1 1 0 1 1 1 0 1 1 2 1 1 X 1 1 2 1 X 1 X 1 1 2 2 2 1 2 1 X 1 1 1 0 1 1 0 1 1 1 0 1 1 1 X 1 1 0 1 1 1 1 1 1 1 1 1 X 1 1 1 X 1 0 1 1 0 1 1 X X+3 1 1 X+3 2 X X+1 1 X 1 1 1 3 0 1 3 X 1 3 1 X X+2 X+1 2 1 1 2 2 1 X+1 X+1 1 X+3 X+3 1 X X+2 1 X+2 1 X+1 1 X+3 X 1 1 1 0 1 1 1 1 2 1 1 X 3 1 X+2 3 X+1 1 2 1 2 X+2 X X+3 1 1 X+2 X 0 X+2 X+2 X+2 X X+3 2 3 X 2 1 X+1 0 0 X 0 0 0 0 0 0 2 X+2 X X+2 2 0 X X X X+2 2 X+2 X+2 X+2 X X+2 2 2 2 X 0 X X+2 X 2 X X 0 2 0 2 X X+2 2 2 2 0 X+2 2 X 2 0 2 2 2 X X+2 2 X+2 X X 2 X X+2 0 2 0 0 X+2 0 X+2 X X+2 X+2 X 2 X X+2 2 X 0 X+2 X+2 X 2 X 2 2 X 2 0 0 0 0 0 X 0 0 X 2 X X+2 0 X+2 X X 0 0 2 X X+2 X+2 2 X 2 2 X+2 0 X+2 2 X X+2 X+2 2 X X 2 X+2 2 X 2 0 2 0 0 0 2 X+2 X+2 X+2 2 X X X X+2 0 X+2 X+2 2 X X 2 2 X 0 0 0 0 X+2 0 X+2 0 2 0 X 2 2 0 X X+2 2 X+2 X X+2 X+2 2 0 2 0 X+2 X+2 0 X 0 0 0 0 X 0 0 X+2 X+2 X+2 2 X X X+2 X X+2 0 0 0 X X+2 X X+2 2 X+2 2 0 X 2 0 2 X+2 X+2 X+2 0 2 2 2 X+2 0 2 X+2 X+2 2 2 0 2 X+2 0 X X X 0 0 X X X 0 X X+2 X 0 2 0 X 2 2 X+2 X 2 X 2 X+2 X+2 0 X 0 0 0 0 0 X 0 0 2 X+2 2 0 2 X+2 X 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 2 2 2 2 0 2 0 2 2 2 2 0 2 0 2 0 2 2 2 2 2 2 0 0 2 2 2 0 2 2 2 2 0 0 0 2 2 0 0 0 0 0 0 2 2 2 0 2 0 2 2 2 2 2 0 2 0 0 0 2 0 2 0 2 2 0 0 2 0 0 0 2 0 2 2 0 0 2 0 0 2 2 0 0 0 0 2 2 2 2 2 2 0 2 0 2 2 0 2 0 2 2 0 0 2 0 0 2 2 2 2 0 2 2 0 2 0 2 0 0 0 2 2 2 0 2 2 2 generates a code of length 91 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 80. Homogenous weight enumerator: w(x)=1x^0+123x^80+28x^81+422x^82+152x^83+799x^84+420x^85+1084x^86+816x^87+1378x^88+1076x^89+1442x^90+1168x^91+1437x^92+1076x^93+1306x^94+784x^95+993x^96+448x^97+574x^98+152x^99+325x^100+24x^101+168x^102+109x^104+50x^106+14x^108+10x^110+3x^112+1x^120+1x^124 The gray image is a code over GF(2) with n=364, k=14 and d=160. This code was found by Heurico 1.16 in 24.1 seconds.