The generator matrix 1 0 1 1 1 X+2 2 1 1 1 1 X 1 1 0 0 1 1 1 1 X+2 1 1 X 1 1 1 X 1 1 0 1 2 1 X+2 1 1 1 X+2 1 1 2 X+2 1 1 X 1 1 1 X+2 1 1 1 X 1 1 X 1 2 1 1 1 1 0 1 0 1 1 0 X 1 1 1 1 1 0 X 0 1 X+2 1 1 2 0 X 1 0 1 1 0 1 1 1 2 X+1 3 X 1 X+2 X+3 1 1 X 1 X 1 1 X+1 0 1 X+1 0 0 1 X+3 X+2 1 X 1 X+1 1 2 X+1 3 1 0 3 1 1 X X+1 1 0 X X+3 1 X+2 0 3 1 X+3 X+2 1 0 1 2 X+2 0 2 1 X+3 1 2 0 1 X 0 1 1 2 X+2 1 X 1 3 1 X 1 1 2 X+2 X+3 0 0 X 0 0 0 0 0 2 0 2 2 0 0 0 2 2 0 2 0 0 2 2 0 0 X+2 X X+2 X+2 X X+2 X+2 X X+2 X+2 X+2 X+2 X X+2 X X+2 X+2 X X 0 X+2 X X+2 X+2 2 X X X 0 0 2 X+2 2 2 2 2 X X 0 X X+2 X+2 X 2 X+2 X+2 2 0 0 X+2 0 2 0 X X 2 X+2 X 0 0 0 0 0 0 X 0 0 0 2 2 2 0 2 0 2 X+2 X X X+2 X+2 X+2 X+2 X+2 X X X+2 0 X 0 0 2 0 X X+2 X X+2 X+2 2 X+2 X+2 0 X 0 X+2 X X+2 2 X 2 X X 0 X+2 0 2 X+2 0 2 X+2 2 2 2 2 2 X+2 2 0 0 X X+2 2 X 0 X+2 X X+2 0 X+2 2 2 X X+2 2 X+2 X 0 0 0 0 0 0 X 0 X+2 X+2 2 0 X X+2 2 X+2 X 0 X+2 0 2 X+2 2 X+2 X+2 X 2 X 0 2 X+2 X X 0 X+2 2 0 X X+2 X X 2 2 0 2 0 X X+2 X 2 X X+2 X+2 0 X X+2 X+2 X 2 X+2 X 2 X+2 X 0 2 0 0 0 2 2 0 X+2 0 0 2 0 0 2 X+2 2 X X X X+2 0 X+2 0 0 0 0 0 0 2 0 0 0 2 2 2 2 2 0 0 2 0 2 2 2 0 0 2 2 0 0 0 0 2 0 2 0 2 2 2 2 0 2 2 0 2 0 0 2 2 0 0 2 2 2 2 0 0 0 0 2 0 2 0 2 0 0 2 2 0 2 2 2 0 0 0 2 2 0 2 0 0 0 0 0 0 2 2 2 0 generates a code of length 86 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 77. Homogenous weight enumerator: w(x)=1x^0+96x^77+194x^78+320x^79+374x^80+456x^81+540x^82+638x^83+666x^84+592x^85+687x^86+608x^87+644x^88+586x^89+426x^90+384x^91+327x^92+256x^93+131x^94+68x^95+40x^96+44x^97+28x^98+24x^99+14x^100+16x^101+7x^102+2x^103+13x^104+2x^105+2x^106+2x^107+1x^110+2x^111+1x^116 The gray image is a code over GF(2) with n=344, k=13 and d=154. This code was found by Heurico 1.16 in 17.9 seconds.