The generator matrix 1 0 1 1 1 3X+2 1 1 2 1 3X 1 1 1 0 1 1 3X+2 2 1 1 1 1 3X 1 1 0 1 1 3X+2 1 1 2 1 3X 1 1 0 1 3X+2 1 1 2 1 1 1 1 3X 1 1 1 1 1 1 1 X 1 1 1 1 1 1 1 X 1 1 1 1 X 1 1 1 1 0 2X 1 0 1 3X+2 X X+2 X 1 1 1 3X 1 2X 1 1 0 0 1 X+1 3X+2 2X+3 1 2 X+3 1 3X 1 2X+1 X+1 0 1 3X+2 2X+3 1 1 2 X+3 3X 2X+1 1 0 X+1 1 3X+2 2X+3 1 2 X+3 1 2X+1 1 3X 3X+2 1 X+1 1 0 2X+3 1 2 X+3 3X 2X+1 1 0 X+2 2X X 0 2X+2 3X+2 2X X+2 2X+2 X+2 2X+2 3X 2X 2 2 3X+2 3X 0 3X 2X 3X+2 2X+2 X+1 X+1 1 1 0 1 3X+1 1 1 1 X+2 X+2 2X+3 3 1 2X X 3X+2 3X+3 1 0 0 2X 0 0 0 0 0 0 0 0 0 0 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 0 0 0 0 0 0 2X 2X 2X 2X 2X 2X 2X 0 0 0 0 2X 2X 2X 2X 0 0 2X 0 2X 2X 2X 2X 0 2X 0 0 0 0 2X 0 0 0 2X 2X 0 0 2X 2X 2X 0 0 2X 0 2X 2X 2X 2X 0 2X 2X 2X 0 0 0 2X 0 0 2X 2X 0 0 0 0 2X 0 0 0 0 2X 2X 2X 2X 2X 2X 2X 0 2X 2X 0 2X 2X 0 0 0 2X 0 0 0 2X 0 0 2X 2X 0 2X 2X 2X 2X 2X 2X 2X 2X 0 0 0 0 0 0 0 0 0 2X 2X 2X 0 0 2X 0 2X 2X 0 0 2X 0 2X 0 2X 0 0 2X 0 0 0 0 0 2X 0 2X 2X 2X 2X 2X 2X 0 2X 0 0 0 2X 2X 2X 0 0 0 0 2X 0 0 2X 0 0 0 2X 2X 2X 2X 2X 0 2X 2X 2X 0 2X 0 2X 0 2X 0 0 2X 0 2X 0 2X 0 2X 2X 2X 0 2X 0 0 0 2X 2X 0 0 2X 2X 2X 2X 0 2X 0 0 0 2X 2X 2X 0 0 0 0 2X 0 2X 2X 2X 2X 0 0 0 0 2X 2X 0 0 0 2X 2X 2X 0 0 2X 0 0 0 2X 2X 0 2X 2X 0 0 0 0 0 2X 2X 2X 2X 2X 0 0 2X 2X 2X 0 2X 0 0 0 0 2X 2X 2X 2X 0 2X 0 2X 0 0 2X 0 0 2X 0 2X 0 0 2X 0 0 2X 2X 2X 2X 2X 0 2X 2X 0 2X 2X 0 2X 2X 2X 0 2X 0 0 2X 0 0 0 0 2X 0 2X 2X 0 0 2X 2X 0 0 2X 2X 0 0 0 0 0 2X 2X 0 0 2X 0 0 0 generates a code of length 91 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 86. Homogenous weight enumerator: w(x)=1x^0+276x^86+224x^87+528x^88+240x^89+583x^90+608x^91+459x^92+256x^93+382x^94+192x^95+206x^96+16x^97+101x^98+20x^100+1x^102+1x^124+1x^126+1x^128 The gray image is a code over GF(2) with n=728, k=12 and d=344. This code was found by Heurico 1.16 in 1.02 seconds.