The generator matrix 1 0 0 1 1 1 0 1 1 2 1 X 1 X+2 1 X X+2 1 1 2 1 1 X 0 1 1 X+2 1 X 1 2 1 1 X 1 X+2 1 1 1 1 1 2 1 1 1 1 1 1 1 0 X X 1 1 X+2 X 2 2 1 2 1 1 1 0 X+2 X+2 0 1 1 1 1 1 1 1 1 1 1 1 2 1 X 0 1 X+2 1 1 0 X+2 2 1 0 1 0 0 1 1 1 2 1 1 X+1 X+2 X 1 X+2 1 1 1 0 X X+3 X+1 1 2 X+2 X+2 1 X+1 0 X 1 1 3 1 1 1 0 X 2 X+1 X+2 1 X+3 0 0 1 X 2 2 1 2 1 X+3 1 0 1 1 1 X+2 1 X+1 X+3 3 2 X 0 1 X X+2 2 X+1 2 X 2 2 2 X+2 X 2 1 2 X+2 2 1 X+2 X+3 1 1 X+2 2 0 0 1 X+1 X+3 0 X+1 X 1 X 0 1 1 1 X X+2 X+1 X 1 1 1 X+1 3 1 0 X+3 2 X+2 1 X+3 1 1 0 X+3 X+1 0 2 X X+2 X+1 1 X X 3 X+3 X 1 X+2 2 X+3 1 X+2 1 0 1 X+1 X+3 0 X+3 X+2 X+2 X+1 X+3 1 1 1 X+3 X+1 X+3 X+3 X+2 0 2 2 3 1 1 3 1 0 1 1 X+1 X 0 1 X X+3 1 2 0 0 0 2 0 0 0 2 2 0 2 2 0 2 0 0 0 2 2 0 2 0 2 2 0 2 2 0 0 2 2 2 2 0 2 2 2 0 2 0 2 2 2 2 0 0 0 2 2 0 2 2 2 2 2 0 2 0 2 0 0 0 2 2 2 2 2 0 0 2 0 2 2 0 0 2 0 0 2 0 0 2 0 0 2 0 2 2 2 0 0 0 0 0 2 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 0 0 0 0 2 0 0 0 0 0 0 0 2 2 2 2 2 2 2 0 0 0 0 2 2 0 0 0 2 0 2 2 2 2 0 2 2 0 0 2 2 0 2 0 0 0 2 0 2 0 0 0 2 0 2 0 2 0 2 2 2 2 2 2 2 2 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 0 0 2 0 0 2 2 0 0 2 0 2 2 0 2 2 2 2 0 2 2 0 0 2 0 0 2 2 2 0 0 2 0 0 2 2 2 0 0 0 0 2 0 2 2 2 0 0 2 2 0 0 0 2 2 2 2 2 0 0 0 2 0 0 0 0 0 0 2 0 2 2 2 2 2 0 2 2 2 2 0 0 2 0 0 2 2 2 2 2 2 2 2 0 0 0 0 2 0 0 2 2 2 0 0 0 2 2 2 2 0 2 2 0 0 0 2 2 0 0 0 0 2 2 2 0 0 0 0 0 0 2 0 2 0 0 2 2 2 2 0 2 0 2 0 0 0 0 0 2 0 0 generates a code of length 90 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 82. Homogenous weight enumerator: w(x)=1x^0+241x^82+184x^83+482x^84+420x^85+809x^86+496x^87+886x^88+548x^89+788x^90+472x^91+590x^92+364x^93+512x^94+296x^95+313x^96+172x^97+279x^98+80x^99+112x^100+32x^101+47x^102+8x^103+40x^104+12x^106+8x^108 The gray image is a code over GF(2) with n=360, k=13 and d=164. This code was found by Heurico 1.16 in 34.8 seconds.