The generator matrix 1 0 0 0 1 1 1 1 2 1 1 1 X 3X+2 X 1 2X+2 2 1 3X 2 1 1 1 0 1 1 1 X 3X+2 1 X+2 0 3X+2 2 1 1 X 1 1 1 1 2X 1 1 2 3X+2 1 X+2 1 1 2X 1 1 X+2 1 2X+2 1 X 1 1 0 2 2 2X 2X+2 1 X 1 1 1 3X+2 1 X+2 1 X+2 0 X 1 1 1 1 2 2X+2 1 0 1 0 0 X 3 2X 1 1 X+3 3X+2 3X+1 1 1 0 2X+3 X+2 1 X+1 2X 1 2X+2 X 2X+3 1 2 3X+3 3X 1 2X+2 3X+2 1 1 0 3X+2 X+3 1 1 3X+1 3X+2 X+2 X+2 X 3X+1 X+2 X 3X+2 3X+3 1 2X 3X+2 1 3X+3 1 1 2 2X 3X+3 X+2 3X+2 2X+1 1 1 1 0 1 2X+1 1 2X+2 0 2X+1 1 0 1 2X+2 1 0 1 3 X 0 3X+1 1 1 3X 0 0 1 0 0 2X 2X+3 3 2X+3 2 3 2X+1 0 3X+1 1 X+1 1 2X+3 3X+1 1 3X 3X+2 3 X 1 3 3X+2 3X+2 X+2 3X+2 3X+1 1 2X+2 1 0 3X+3 3X+2 2X+2 3X+1 2 3X+3 3X 1 0 3X+1 1 0 2X 2X+1 2 3 2X+2 2X+3 2X+1 3X+3 X 2X X 1 3X+2 2 2X+1 2X+2 X 1 1 3X+1 3X+2 X+3 3X+3 3X+3 2X+3 X+3 0 1 3X 1 X+3 2X 3X+1 0 2X+2 3X+2 1 X+2 0 0 0 1 1 3X+1 X+1 2X 3X+1 X X+2 2X+3 3 2 2X+1 3 2X+2 2X+1 3X+2 X+3 3 2 2X+1 X+3 X+2 3X 2X X+1 0 1 X X+1 X X+2 1 X+2 0 3X+1 3X+3 X+1 2X 0 X+3 2X+1 2X+3 0 1 2 2X+2 X+1 3X+3 0 X+1 2X+2 2X X 1 3X+3 2X+2 X 2X+1 3 3 3X+3 X+3 3X+1 0 3X+1 3X X+3 3X 3X 1 3X+3 3X+2 3X+2 3X+3 3X+3 0 1 3X 1 2X+3 X+1 3X+3 0 0 0 0 2 0 0 0 0 2 2 2 2X+2 2X+2 2 2X+2 2X 2X 0 2X+2 2X+2 0 0 0 2X+2 2 2X+2 2 0 2X 2X+2 2X 2 2X 0 2X 2X 2X 2X+2 0 0 2 2X 2X+2 0 2 2X 2 0 2X 2X+2 2X+2 2 2X+2 2 0 2X+2 0 2X+2 0 2X 0 2X 2X+2 2X 2 2X+2 2 2X+2 2 0 2X 2X 2X+2 0 2X 2 2X+2 2 2X 2X+2 2X+2 0 2X+2 2X+2 generates a code of length 85 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 76. Homogenous weight enumerator: w(x)=1x^0+488x^76+1468x^77+3858x^78+6606x^79+10213x^80+14738x^81+21364x^82+24954x^83+32262x^84+30716x^85+31261x^86+25810x^87+21699x^88+14632x^89+10634x^90+5638x^91+3078x^92+1522x^93+661x^94+306x^95+125x^96+34x^97+27x^98+22x^99+6x^100+10x^101+2x^102+6x^103+2x^107+1x^114 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 794 seconds.