The generator matrix 1 0 0 0 1 1 1 1 2 1 1 1 X 3X+2 3X 3X+2 X+2 1 1 2X 1 X 1 2X+2 X+2 1 1 1 1 X+2 3X X 1 1 1 X 3X+2 1 1 1 0 1 3X 2X+2 1 1 2X 2 1 3X 2 1 1 2 X 2 3X X+2 1 1 2X 3X+2 2X+2 1 2X+2 2X+2 1 1 1 1 2X 1 3X+2 1 1 1 1 2X 1 2X+2 2X+2 2X 0 1 1 0 1 0 0 X 2X+3 2X 2X+1 1 3X+3 X+2 X+1 1 1 2X 3X 3X 3X+2 X 1 2X+3 1 3X+1 3X+2 1 X+3 0 2X+3 X+2 2X 1 X+2 2 2X+1 X+3 1 1 3X+1 2X X 2X 2X+3 2X+2 0 3X+2 3X+2 1 1 2X+2 1 1 2 X+2 X 1 0 1 X 0 3X+3 1 1 2X 2X+2 1 1 3X+3 1 2X+3 X 2 2X 1 3X+1 3X+2 X+3 X 3X+2 2 2 1 3X 1 2X+1 2X 0 0 1 0 0 2X 3 2X+3 2X+3 2X+2 2X+3 1 0 X+1 1 X+2 1 X X+1 0 X+1 2 3X+3 1 2X+1 2 3X+1 X X+2 1 X+1 1 3 X+1 3X+2 2X+3 2X+3 3X+2 2X+1 3X+3 1 1 3X 1 0 0 X 2X+2 2 3X+1 2X 2X+3 2X+1 3X 2X+2 1 X+1 1 X 2X+1 X X 3X+2 X+1 3X+2 2X+3 3 2 3X+2 X+2 1 3X+3 X+2 3X 2X 3 2X+2 1 3X+1 1 X+1 2X+2 3X+3 3X 1 0 0 0 1 1 3X+1 X+1 2X X+1 X 3X+2 2X+3 2X+3 2X+2 2X+1 1 0 2X+2 3X+1 2X+1 X+1 0 3X+2 2X+1 2X 3 X X+2 3X+3 2X 2X+1 1 X 0 3X+3 X 3X+3 2X+2 3 X X+3 2X+1 1 2X+3 X+1 X X+3 X 2X X 3 2X 3X+1 1 2 2X X+1 3X 2X+1 2X+2 2X+1 3 1 2 2X+2 2X+2 3X+3 X+2 3 2X+1 3X+3 2 2X+2 3X+2 0 2X 3X+1 X+2 X+1 3X 3X 1 3X+1 3X 3X+3 0 0 0 0 2X+2 0 0 0 0 2X+2 2X+2 2X+2 2 2 2X+2 2X 2X 2X 2X 2 2 0 2X 2 2X+2 0 2 2X+2 2X+2 2X 0 2 2 2X+2 2 0 2 0 2 2X 2X 2X+2 2 2X 2X 0 0 2X+2 2 2X 2X 2X 2 2X+2 2 2 2X+2 2X+2 0 2 2X+2 2 2X 0 0 2 2X+2 2X+2 0 2X+2 2X+2 2 2X+2 2 2X+2 0 2 0 2 2X 2 2 2X 2X 2 generates a code of length 85 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 76. Homogenous weight enumerator: w(x)=1x^0+418x^76+1596x^77+3709x^78+6248x^79+10714x^80+15572x^81+20613x^82+25380x^83+30557x^84+32088x^85+30718x^86+26194x^87+21126x^88+15690x^89+10096x^90+5534x^91+3295x^92+1396x^93+669x^94+260x^95+145x^96+62x^97+14x^98+14x^99+16x^100+12x^101+2x^102+3x^106+2x^111 The gray image is a code over GF(2) with n=680, k=18 and d=304. This code was found by Heurico 1.16 in 766 seconds.