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 X 2 2 0 1 X X 0 2 1 1 1 X 1 X 1 2 1 1 X 0 X X 1 1 0 1 0 1 1 1 X X X 0 X 1 1 1 1 1 1 2 1 2 1 0 1 1 0 X 0 0 0 0 0 0 0 X+2 X X X X X+2 X+2 X 2 X 0 X 2 0 X+2 X 2 2 X 2 2 X X 2 X+2 X+2 X X X 0 2 0 X+2 0 2 2 X 0 X X+2 X 2 0 X+2 X X 0 X+2 2 2 0 2 X X 2 0 0 X+2 X X+2 X X+2 0 X+2 X X X X X+2 X+2 X+2 X+2 2 X+2 X+2 0 X+2 2 0 0 0 X 0 0 X 0 0 0 X X+2 X 2 X X+2 0 0 X X+2 2 2 2 X 2 X 2 X X+2 X+2 0 X 0 X X 0 2 X 2 X+2 2 2 X+2 2 X X+2 X X X X 2 X X X X 2 0 0 X X+2 X+2 2 2 0 2 2 X 2 2 2 0 2 0 X X X+2 0 X 2 X X+2 2 0 X X+2 X+2 X+2 X X X+2 X 2 X 2 0 0 0 0 X 0 X X X 0 X+2 2 X X+2 0 0 X+2 X+2 X+2 X X+2 0 2 2 X 0 0 X 0 0 X X 0 2 X+2 0 X 0 X 2 X X+2 2 2 0 2 X 2 X+2 X+2 X 0 2 2 X 2 2 0 X X X+2 X 0 2 X+2 X+2 X X 2 0 X+2 2 2 X 0 X 2 0 X+2 0 2 2 X+2 X 2 2 X+2 0 X X+2 X+2 0 0 0 0 0 X X 0 X X+2 X 0 X 2 X+2 X 2 2 0 X+2 X 2 0 2 X 0 X X X X+2 2 0 X+2 2 0 0 X+2 X X+2 2 X+2 X 0 X X+2 X+2 0 X+2 X 2 2 X 0 0 2 2 X+2 X+2 X+2 0 X+2 2 X+2 X 0 X 2 X 2 X X+2 2 2 X 0 X 0 X X 2 X X 2 2 X X+2 X+2 2 0 X 0 X 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 2 2 2 2 2 2 2 0 2 0 2 0 0 2 0 0 2 2 0 2 0 0 2 2 2 2 0 2 0 2 2 2 2 2 2 2 0 2 2 2 2 0 2 2 0 2 0 0 2 2 0 0 2 2 2 0 2 0 2 0 2 2 2 2 2 0 0 2 0 0 0 0 0 0 0 0 2 0 2 0 2 2 2 2 2 2 0 2 2 2 2 2 2 0 0 0 2 0 2 0 0 0 2 2 2 0 2 2 0 0 2 0 0 2 0 2 2 2 0 0 2 0 2 2 2 2 2 2 0 0 0 0 0 2 0 2 0 0 0 2 2 2 0 2 0 0 0 2 0 0 0 2 2 2 0 0 2 2 0 0 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+101x^80+4x^81+364x^82+40x^83+531x^84+128x^85+576x^86+232x^87+768x^88+376x^89+846x^90+472x^91+878x^92+400x^93+660x^94+248x^95+499x^96+100x^97+364x^98+32x^99+232x^100+16x^101+144x^102+90x^104+50x^106+30x^108+4x^110+5x^112+1x^132 The gray image is a code over GF(2) with n=364, k=13 and d=160. This code was found by Heurico 1.16 in 9.02 seconds.