The generator matrix 1 0 1 1 1 X+2 1 1 2 1 X 1 1 1 X+2 0 1 1 X+2 1 1 1 2 1 1 1 2 1 1 1 X+2 1 X+2 1 1 X 1 1 X X 1 1 1 1 X 1 X+2 1 2 1 1 X+2 1 2 1 X+2 1 1 X+2 1 2 1 1 1 1 1 2 1 1 1 1 1 X 1 2 1 0 1 1 1 X 0 1 1 0 X+3 1 X X+1 1 1 1 0 X+3 X+2 1 1 X X+1 1 3 X+2 0 1 3 1 X+1 1 2 1 X 1 X+2 1 X X 1 3 X+3 1 1 X X+1 0 3 1 3 1 0 1 X+1 X+1 1 X 1 3 1 X+2 X 1 1 1 X+1 1 3 X+3 X+2 1 0 X 3 0 X+1 1 X 2 0 1 X+3 0 X+2 X 0 0 X 0 X+2 0 0 0 2 2 2 X 0 X X+2 X+2 X X+2 X X 0 X X 0 X X+2 2 0 2 0 0 X 2 2 X+2 X+2 0 0 X 0 0 2 X+2 0 X 2 X 2 X X X 2 0 X 2 2 X+2 X 2 X X+2 X 2 0 2 X X X+2 0 0 2 X+2 0 X X X+2 X X X 0 0 0 0 0 X 0 0 X 2 X+2 X X X X X+2 X+2 X+2 2 X+2 0 X 2 2 2 0 X 0 0 X X+2 X X+2 0 2 X+2 X X+2 2 0 2 X 2 X+2 X X+2 X+2 2 X+2 0 0 X X+2 2 X+2 2 X+2 X+2 X+2 0 0 2 X+2 X+2 X+2 0 X+2 2 X X+2 2 X+2 2 0 2 X+2 X 2 X+2 X+2 X+2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 0 2 2 2 2 2 0 2 0 0 2 0 0 2 0 2 2 0 2 0 0 0 0 0 2 2 0 2 2 2 0 2 0 0 0 2 2 2 2 2 2 0 2 2 2 0 2 2 0 0 2 0 0 0 0 0 2 0 2 2 2 2 2 2 2 0 0 2 0 0 0 0 2 0 2 0 0 2 0 2 2 0 0 0 2 0 2 0 2 2 0 2 0 0 2 2 0 2 2 2 2 0 0 2 2 0 2 2 0 2 2 2 2 0 0 2 2 2 0 2 0 0 2 0 2 2 2 0 0 0 2 0 0 0 0 0 0 0 2 0 2 2 0 2 0 0 2 0 0 0 2 2 0 0 2 2 0 2 0 0 0 0 2 2 0 2 0 2 2 0 2 0 2 0 0 2 2 2 0 0 0 2 2 2 2 0 0 0 0 0 2 2 0 2 0 0 2 0 2 2 0 2 2 0 2 2 2 0 0 2 0 2 2 generates a code of length 81 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+143x^72+80x^73+366x^74+248x^75+571x^76+356x^77+790x^78+520x^79+822x^80+620x^81+764x^82+560x^83+665x^84+412x^85+482x^86+200x^87+261x^88+68x^89+90x^90+8x^91+70x^92+54x^94+19x^96+12x^98+5x^100+2x^102+2x^104+1x^108 The gray image is a code over GF(2) with n=324, k=13 and d=144. This code was found by Heurico 1.16 in 5.78 seconds.