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 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 1 0 1 X X X 1 0 X 2X+2 X+2 0 X+2 2X+2 3X 0 X+2 3X 2X+2 2X 3X+2 2 3X 0 X+2 3X 2X+2 X+2 0 3X 2X+2 0 X+2 3X 2X+2 2X X+2 3X 2 3X+2 0 X 2X+2 2X 2 3X+2 X X+2 0 2X 3X+2 2X+2 3X 2 X 0 3X X 0 2X X 2X 3X 2X+2 2X+2 2 X+2 X+2 3X+2 2 3X+2 0 X+2 0 2X 2X X+2 3X+2 3X+2 2X+2 2X+2 2 X+2 3X+2 2 3X 3X X 3X+2 3X+2 X+2 X X X+2 X+2 X+2 X+2 0 0 0 2X 0 0 0 2X 0 0 0 0 2X 0 0 2X 0 0 2X 2X 2X 2X 0 2X 2X 0 2X 2X 2X 0 2X 2X 2X 0 2X 0 0 2X 0 2X 2X 0 2X 2X 2X 0 0 0 2X 2X 0 2X 2X 2X 2X 2X 0 0 0 0 0 0 2X 0 2X 0 0 0 0 0 2X 2X 0 0 2X 2X 0 0 0 2X 0 2X 0 2X 2X 0 0 2X 2X 2X 0 0 0 0 0 2X 0 0 0 2X 0 0 0 0 0 2X 0 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 0 0 2X 2X 0 0 2X 2X 2X 0 0 0 2X 0 0 0 2X 0 2X 0 0 2X 0 2X 2X 2X 0 2X 2X 0 2X 0 2X 2X 0 2X 0 0 2X 0 2X 2X 2X 0 2X 0 0 2X 2X 0 2X 0 0 2X 0 2X 2X 0 0 0 0 2X 2X 2X 2X 0 0 0 0 0 2X 0 2X 0 0 2X 2X 2X 2X 2X 0 2X 2X 0 0 0 2X 2X 2X 0 0 2X 2X 2X 0 0 0 2X 2X 0 0 0 2X 2X 0 0 0 0 2X 2X 2X 2X 0 2X 2X 2X 0 0 2X 2X 0 0 0 0 2X 2X 0 2X 2X 0 2X 2X 0 0 2X 0 0 2X 2X 2X 2X 2X 2X 2X 0 0 2X 0 2X 2X 2X 2X 2X 2X 0 0 0 0 0 0 0 0 2X 0 2X 2X 2X 0 2X 2X 0 2X 2X 0 0 2X 0 0 2X 2X 2X 2X 2X 0 2X 0 0 2X 0 2X 0 2X 0 2X 2X 2X 0 0 2X 0 2X 2X 2X 0 2X 2X 0 0 2X 0 0 0 0 2X 2X 0 0 2X 0 0 2X 2X 0 0 2X 0 2X 0 2X 0 0 2X 2X 0 2X 0 2X 2X 0 2X 2X 0 2X 2X 2X 2X 2X 2X generates a code of length 91 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 86. Homogenous weight enumerator: w(x)=1x^0+60x^86+120x^87+102x^88+96x^89+286x^90+720x^91+289x^92+96x^93+96x^94+120x^95+53x^96+6x^98+2x^100+1x^172 The gray image is a code over GF(2) with n=728, k=11 and d=344. This code was found by Heurico 1.16 in 1 seconds.