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 X 1 0 1 1 1 1 1 X 1 0 1 2 1 1 1 1 2 1 1 1 1 1 1 1 1 1 2 2 2 1 1 1 1 X 1 1 X 1 X X 1 1 X 1 1 X 1 1 2 X 1 2 X 0 X 0 0 0 0 0 0 2 X X+2 X+2 X X X+2 X+2 2 2 0 X X X+2 X 0 X X 0 X+2 X 2 2 2 X+2 X+2 0 X+2 2 X+2 X+2 X X+2 X+2 0 2 X X X+2 2 2 0 2 X 0 X X 0 0 X+2 X X+2 X+2 0 X+2 2 X X 0 X X X X X X X 2 2 X 2 2 X X 0 X X+2 0 X+2 X X+2 X X 2 0 0 X 0 0 0 X X+2 X+2 X X 2 X X 2 0 2 X+2 X+2 X+2 0 X X+2 X+2 0 X+2 X+2 2 2 0 0 2 2 X+2 0 X+2 2 X+2 2 X+2 X+2 X 2 0 0 X 0 X X+2 2 X+2 0 X X+2 X+2 0 0 0 X X X+2 X+2 X+2 X+2 2 2 0 X X+2 2 0 X+2 0 X+2 X+2 X+2 X X 0 2 2 X X+2 0 X+2 X 2 X 2 X X+2 0 0 0 X 0 X X X 0 2 0 X X+2 X+2 X 2 2 0 0 0 2 2 X+2 X X+2 X X 0 X 2 X+2 X+2 X+2 X X+2 X+2 X X+2 0 X 2 X+2 0 X X X+2 0 X+2 0 X X+2 X+2 X+2 X+2 X X+2 X 0 0 2 X X 0 2 X+2 0 X X X+2 0 X X 2 X+2 X 0 X+2 2 X X 0 X+2 2 2 X X+2 X 0 X X+2 X 0 0 0 0 X X 2 X+2 X 2 X 0 X 0 X X X+2 X+2 0 2 X X 2 0 2 X+2 X+2 0 X 0 2 X X+2 X X+2 X+2 0 2 0 2 X 0 2 2 0 X 0 X+2 X+2 X X X 0 2 X 2 X X X+2 X X+2 0 0 X+2 0 X X+2 0 X 0 X+2 X X+2 0 X+2 X X+2 0 X+2 2 2 X X X 2 X+2 X+2 X X+2 X+2 2 0 0 0 0 0 2 2 2 0 0 0 2 0 0 0 2 2 2 2 2 0 2 2 0 0 2 0 2 2 2 2 0 0 0 2 2 0 2 0 0 2 0 0 2 2 2 2 2 0 0 0 2 0 0 0 2 0 0 2 0 0 2 0 0 2 2 2 2 0 0 0 2 2 0 2 2 0 2 0 2 2 2 2 0 0 0 0 2 0 2 2 generates a code of length 91 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 82. Homogenous weight enumerator: w(x)=1x^0+177x^82+4x^83+239x^84+44x^85+320x^86+148x^87+417x^88+184x^89+485x^90+292x^91+459x^92+176x^93+360x^94+108x^95+187x^96+40x^97+153x^98+24x^99+101x^100+4x^101+78x^102+57x^104+25x^106+9x^108+2x^110+1x^112+1x^144 The gray image is a code over GF(2) with n=364, k=12 and d=164. This code was found by Heurico 1.16 in 2.81 seconds.