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 0 1 1 3X+2 1 1 2X 1 1 X+2 1 1 0 3X+2 1 1 1 1 2 1 1 2X 1 1 1 1 X+2 2X+2 1 1 0 2X 1 1 1 3X X 1 1 3X+2 X+2 1 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+1 1 3X+2 2X+3 1 0 X+1 1 X+2 3 1 3X+2 2X+3 1 1 2X 3X+1 2 X+3 1 3X 3X+1 1 2 3X 2X+1 2X+1 1 1 3 2X+2 1 1 X 3X+3 1 1 1 2X+3 3 1 1 X+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 0 0 0 0 0 2X 2X 2X 2X 2X 2X 0 0 2X 2X 0 0 2X 2X 0 2X 2X 0 0 2X 0 0 0 2X 2X 0 0 2X 2X 0 2X 0 2X 2X 2X 0 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 2X 0 0 0 2X 2X 2X 0 0 2X 0 2X 0 0 2X 2X 2X 0 2X 2X 0 2X 2X 2X 2X 0 2X 2X 0 0 2X 0 0 0 0 0 0 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 0 2X 2X 0 2X 0 2X 0 0 2X 0 2X 0 0 0 2X 0 0 2X 2X 0 2X 2X 2X 0 0 0 2X 0 2X 2X 2X 0 0 0 2X 2X 0 2X 2X 2X 0 0 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 0 0 0 2X 2X 2X 2X 2X 0 0 0 2X 2X 0 2X 0 0 2X 0 0 0 2X 2X 2X 2X 0 0 0 0 2X 0 2X 2X 0 2X 0 0 0 2X 0 2X 2X 2X generates a code of length 92 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 87. Homogenous weight enumerator: w(x)=1x^0+112x^87+638x^88+496x^89+32x^90+288x^91+960x^92+288x^93+32x^94+496x^95+638x^96+112x^97+2x^120+1x^128 The gray image is a code over GF(2) with n=736, k=12 and d=348. This code was found by Heurico 1.16 in 0.89 seconds.