The generator matrix 1 0 0 1 1 1 X 1 X+2 1 1 2 1 X+2 1 2 1 X X+2 1 1 1 1 2 1 2 1 X 1 1 1 0 1 2 1 X 0 2 1 1 1 1 1 1 1 2 0 1 2 1 1 1 2 1 X 2 X 1 1 X+2 2 2 2 1 X+2 1 X 2 1 0 1 1 1 1 X 2 1 1 X X+2 1 1 X 2 1 1 1 1 1 0 1 0 0 1 X+3 1 2 0 2 X+1 1 3 1 2 1 X+3 X+2 1 X+3 X X 1 X+2 X 1 1 1 0 2 1 1 X 1 0 1 X+2 1 X+3 X+1 X X+3 X+1 2 1 1 1 X 2 3 1 X+1 X X+2 1 1 0 1 X+2 1 X+2 2 1 0 1 X+2 X+2 1 X+1 1 1 2 3 X 1 1 3 2 X X+2 X+3 X 1 1 0 X 0 X X+2 0 0 1 1 X+1 0 1 X+1 1 X 3 3 2 0 0 X X+1 1 X+1 X X+1 X+2 X 1 3 X+3 3 X X X+3 3 X 0 2 X+1 1 1 3 X+2 X+3 X X+2 2 1 X+3 0 X+3 1 1 X+3 X+3 3 1 X+2 2 1 1 X+2 X+3 X 1 1 X+2 X+3 0 2 1 X+1 X+3 0 X 2 X+2 X+3 X+3 1 1 X 1 1 0 1 3 X X+2 2 X+2 X 0 0 0 0 X X X+2 2 X+2 0 0 X 0 X 0 X 2 X 2 0 X+2 X+2 X X 0 X+2 0 X+2 0 X X+2 2 X+2 X+2 X+2 2 X+2 X X 0 2 0 2 0 0 2 X X 2 X+2 X+2 2 0 X 2 X+2 2 2 X+2 0 X+2 0 X 2 0 2 2 X+2 X 0 X 2 X X+2 0 2 X+2 2 2 2 2 0 0 X X X+2 X 0 0 2 0 0 0 0 2 0 0 2 2 2 0 2 2 2 0 2 2 2 0 2 0 2 0 0 2 2 0 0 2 0 2 0 0 0 0 0 0 0 2 2 0 0 2 0 0 2 2 2 0 0 2 0 2 2 0 0 2 0 0 2 0 2 0 2 2 2 0 2 0 0 0 2 2 2 2 0 0 2 0 2 0 2 2 2 0 2 0 2 2 0 0 0 0 0 2 2 0 0 0 0 2 0 2 2 0 2 2 0 2 2 2 0 2 2 0 2 2 0 0 0 2 0 0 0 0 0 2 2 2 2 2 0 2 0 2 0 2 2 2 0 2 0 2 2 2 2 0 2 2 0 2 0 2 0 0 2 2 0 2 2 2 2 2 2 2 0 2 2 0 0 0 0 0 2 0 0 0 2 generates a code of length 89 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 81. Homogenous weight enumerator: w(x)=1x^0+158x^81+297x^82+482x^83+459x^84+710x^85+546x^86+772x^87+590x^88+744x^89+546x^90+584x^91+481x^92+472x^93+291x^94+300x^95+200x^96+218x^97+96x^98+92x^99+42x^100+54x^101+15x^102+8x^103+13x^104+8x^105+1x^106+6x^108+4x^109+2x^115 The gray image is a code over GF(2) with n=356, k=13 and d=162. This code was found by Heurico 1.16 in 7.48 seconds.