The generator matrix 1 0 0 1 1 1 X 1 1 X+2 1 1 X X+2 X X 1 1 2 1 1 1 X 0 0 1 1 2 1 2 1 X+2 X 1 1 0 1 1 0 X+2 1 1 X 1 1 0 2 X 0 1 2 1 1 1 1 1 X 1 1 X+2 X X 2 1 1 1 1 2 1 1 1 1 1 1 X 1 1 2 0 1 0 0 1 0 X 1 X+3 1 X+2 0 2 1 X+1 1 1 X 1 1 X+2 1 0 X+3 3 1 X 1 2 3 1 X+3 1 X 0 1 X X X+2 X+1 3 1 1 X X+1 1 X+1 0 2 1 X 1 X+1 1 0 3 X+3 0 X+1 1 0 0 1 1 1 1 0 0 3 3 1 X+2 0 3 X+2 X+1 X+3 1 1 1 X X X 1 0 0 1 1 X+3 X+2 1 X+3 X+2 1 1 0 X X+1 1 2 X 0 X+3 X+3 3 X+1 2 1 3 1 2 X X+1 0 X 1 X X X+1 1 1 X X X+3 3 X 2 X+3 2 1 X+1 1 X+3 0 X 3 2 X+3 X+2 2 X 1 3 X+1 X+1 3 X+2 0 X+2 3 3 0 0 2 X 0 1 0 2 X+2 X 1 2 2 X+2 0 0 0 2 0 0 0 0 2 2 0 0 2 2 2 2 2 2 2 0 0 0 0 2 0 0 0 2 2 0 0 0 2 2 0 2 2 2 0 0 2 2 2 0 2 0 2 2 2 0 0 2 0 2 0 2 0 2 2 2 0 2 0 0 0 0 0 0 2 2 0 2 2 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 2 2 2 2 2 2 0 0 2 2 0 2 2 2 0 2 0 0 0 2 2 2 0 0 0 2 0 2 2 0 2 2 0 2 0 0 2 0 2 2 0 0 2 2 2 2 2 2 0 0 0 2 2 2 0 0 0 0 2 2 2 0 0 0 2 0 2 0 0 0 0 0 2 0 0 0 0 0 2 0 0 2 2 0 2 2 2 2 2 2 2 0 0 2 0 0 0 2 2 2 2 0 0 2 0 2 0 2 2 2 0 2 0 0 0 2 2 0 0 2 0 2 2 2 2 2 2 2 0 0 2 0 2 0 0 2 0 0 2 0 0 0 0 2 2 2 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 2 0 0 0 0 0 2 2 2 2 2 2 2 2 2 0 2 2 0 2 2 0 2 2 0 0 2 0 0 0 2 2 0 2 0 2 0 2 2 0 2 0 0 2 2 0 2 0 2 0 0 2 0 0 0 2 2 0 2 0 2 2 2 0 0 0 0 0 0 0 2 2 2 2 2 0 0 2 0 0 0 2 2 2 0 0 0 2 2 0 2 2 2 0 0 2 2 0 0 2 0 2 2 0 2 2 0 0 2 0 0 2 2 2 2 2 2 2 2 2 2 2 0 2 2 0 0 2 0 2 0 2 2 2 0 2 2 0 0 0 0 0 0 0 generates a code of length 81 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 71. Homogenous weight enumerator: w(x)=1x^0+74x^71+161x^72+484x^73+398x^74+824x^75+661x^76+1242x^77+959x^78+1698x^79+975x^80+1766x^81+967x^82+1618x^83+888x^84+1212x^85+557x^86+750x^87+298x^88+332x^89+155x^90+148x^91+71x^92+70x^93+27x^94+6x^95+12x^96+10x^97+7x^98+2x^99+4x^100+4x^101+1x^102+1x^104+1x^106 The gray image is a code over GF(2) with n=324, k=14 and d=142. This code was found by Heurico 1.16 in 17.4 seconds.