The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 2 X X 2 1 X 2 0 2 1 2 1 1 1 2 1 1 2 1 X 1 1 0 X X 1 X 2 X 1 1 X 1 X 1 2 1 0 X 1 1 1 2 1 0 X 0 0 0 0 0 0 0 X+2 X X X X X+2 X+2 X 2 X 0 X 2 0 X+2 X 2 2 X 2 2 X X 2 X+2 X+2 X X X 0 2 0 0 X 2 0 X X X+2 2 X X 0 0 0 X 0 X X+2 2 2 2 X 0 X+2 X X+2 X X+2 2 X X 2 0 2 X X+2 X 2 0 X 0 X+2 2 X+2 2 0 0 0 X 0 0 0 X X+2 X 2 X X+2 0 0 X X+2 2 2 2 X 2 X 2 X X+2 X+2 0 X 0 X X 0 2 X 2 X+2 2 2 X+2 2 X X 2 0 X 2 X X+2 2 X+2 X 0 2 X+2 0 X 0 2 0 2 X+2 2 0 2 X+2 X+2 2 X+2 X+2 X X 2 2 X X+2 2 2 X X X 0 0 X+2 2 X X+2 0 0 0 X 0 X X X 0 X+2 2 X X+2 0 0 X+2 X+2 X+2 X X+2 0 2 2 X 0 0 X 0 0 X X 0 2 X+2 0 X 0 X 2 X X+2 2 X X 2 2 2 0 X 2 2 0 X X+2 2 X+2 X X 2 X X+2 X X+2 X 2 X 0 2 0 X 0 2 0 0 X+2 2 2 X X+2 2 X 2 X X+2 2 X+2 0 0 0 0 X X 0 X X+2 X 0 X 2 X+2 X 2 2 0 X+2 X 2 0 2 X 0 X X X X+2 2 0 X+2 2 0 0 X+2 X X+2 2 X+2 X X 2 2 X+2 X X+2 X+2 X X 0 0 X X+2 X 0 X 0 2 0 2 X X X+2 2 X+2 X+2 X+2 X+2 2 2 X X+2 2 2 X X 2 X+2 X+2 0 2 X+2 2 X 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 2 2 2 2 2 2 2 0 2 0 2 0 0 2 0 0 2 2 0 2 2 2 0 0 2 2 2 2 2 0 2 2 2 0 0 0 2 2 2 2 2 0 2 0 2 0 0 2 2 2 2 2 0 2 2 0 2 0 2 0 0 0 0 2 0 0 0 0 0 0 0 2 0 2 0 2 2 2 2 2 2 0 2 2 2 2 2 2 0 0 0 2 0 2 0 0 0 2 2 2 0 2 2 0 0 2 2 0 0 2 0 2 2 0 0 0 0 2 0 0 0 2 2 0 0 2 2 0 0 2 2 0 2 2 0 0 2 0 2 0 0 2 2 0 0 0 0 0 0 0 0 generates a code of length 86 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 75. Homogenous weight enumerator: w(x)=1x^0+56x^75+105x^76+160x^77+219x^78+310x^79+381x^80+416x^81+454x^82+546x^83+642x^84+586x^85+663x^86+646x^87+566x^88+480x^89+445x^90+440x^91+259x^92+182x^93+140x^94+142x^95+102x^96+66x^97+48x^98+30x^99+50x^100+24x^101+9x^102+6x^103+6x^104+6x^105+4x^106+1x^110+1x^122 The gray image is a code over GF(2) with n=344, k=13 and d=150. This code was found by Heurico 1.16 in 8.17 seconds.