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 X 1 1 1 1 1 1 1 X 1 1 1 1 X 1 0 1 X 1 1 1 1 2 1 1 1 2 1 1 X X X 1 1 X 1 2 0 1 1 1 1 X 1 1 X 1 1 1 0 1 0 0 X 0 0 0 X X+2 X 0 2 2 0 X X+2 X X+2 X+2 X+2 X+2 2 0 0 2 X+2 0 0 X X 0 2 X+2 X X X+2 2 X+2 X+2 0 X+2 X X+2 X X 0 X+2 2 2 X 0 X+2 0 2 X 2 X 0 X 2 0 2 X X 0 X+2 X+2 X 2 X+2 X 0 2 X+2 X+2 0 X X X 2 2 0 2 0 2 2 2 X 2 X 2 X 2 0 0 X 0 X X X+2 0 0 0 X+2 X+2 X X 2 0 X 2 0 X+2 X+2 2 2 X+2 X+2 2 X X+2 2 X 0 X 0 2 X 0 2 2 2 2 2 X 2 X+2 X X X 2 X+2 X X 2 X+2 2 X X+2 X+2 2 X 2 2 X+2 0 2 2 2 2 2 X+2 0 X+2 X+2 X+2 2 X X+2 X+2 X 2 2 0 X X+2 2 X X X+2 X+2 0 X+2 X 0 0 0 X X 0 X+2 X 2 X+2 X 2 2 X X 2 0 X+2 0 X 2 X 2 X+2 2 2 0 X+2 X X+2 X+2 X+2 2 X+2 2 2 2 2 X X X+2 0 2 X+2 X+2 X+2 0 X 2 2 2 X 2 0 X X 2 X+2 0 2 X 0 X 2 0 X+2 0 X+2 0 X+2 0 0 0 X 2 0 X 0 0 X 2 X+2 2 X+2 2 X+2 0 X X 2 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 2 2 2 2 2 0 2 2 0 2 2 0 0 0 2 0 2 2 2 2 0 2 2 0 0 2 2 0 0 2 0 2 0 2 2 0 2 2 0 0 2 0 2 0 2 0 0 2 0 2 2 2 2 2 0 0 2 0 0 2 0 2 0 2 0 0 0 2 0 2 2 2 0 0 0 2 0 0 0 0 0 2 0 2 0 0 2 2 0 2 2 0 0 0 2 2 2 0 0 2 2 2 0 0 2 2 0 2 2 2 2 2 0 2 0 0 0 2 2 0 0 2 0 0 0 0 0 2 0 2 2 0 2 0 2 2 2 2 0 2 2 0 0 2 2 2 0 2 2 0 0 0 2 2 2 2 0 2 0 0 2 0 0 0 2 2 0 0 0 0 0 0 0 2 2 2 2 0 0 2 0 0 0 0 0 2 0 2 0 0 2 2 0 0 0 0 2 0 2 0 0 0 0 2 2 2 2 2 0 2 0 2 2 2 0 0 2 2 2 0 2 0 2 0 2 2 2 2 2 2 2 2 2 0 2 0 0 2 2 2 0 0 2 2 0 0 2 2 2 0 0 0 2 2 2 2 2 0 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+152x^82+271x^84+28x^85+304x^86+152x^87+442x^88+220x^89+476x^90+240x^91+469x^92+220x^93+292x^94+120x^95+257x^96+36x^97+152x^98+92x^100+8x^101+72x^102+52x^104+20x^106+15x^108+4x^110+1x^148 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 2.47 seconds.