The generator matrix 1 0 0 1 1 1 X X+2 1 1 X+2 1 1 2 1 X^2 1 2 X^2+2 1 1 X+2 X^2+X+2 1 1 1 2 1 X^2+X X^2+X 1 1 X+2 1 1 2 X+2 1 X^2+X+2 1 1 X^2+X+2 1 X^2+X+2 1 1 1 2 1 X^2 1 1 X^2+X+2 1 0 1 1 1 1 X^2 2 1 1 1 1 X X^2+X X^2+2 X^2+2 0 X 1 1 1 1 1 1 X^2+2 X^2 X X 1 2 0 X^2+X 1 0 1 1 X^2+X 2 1 1 X^2 1 2 1 1 0 1 0 0 X^2+1 X+1 1 2 0 X+3 1 2 X^2+1 1 0 1 X+3 1 X+2 X^2+2 3 X^2 1 X^2+X X^2+2 X^2+X+3 1 1 X+2 1 X+1 X^2 1 X^2+X+1 X 1 1 X^2+X+1 X+2 X^2+X+1 X^2+X+2 1 X+2 1 X^2+2 X^2+3 X^2 X^2 X^2+3 1 X^2+3 X 0 X+2 1 X^2+3 X^2+X X^2+3 X^2+X+3 1 1 X^2+X+1 X^2+3 X+1 X+2 1 X^2 1 1 X^2+X+2 1 X^2+X+2 X^2+X+2 X^2+2 X^2+3 X+2 X^2+X+2 1 2 1 1 X+1 1 X^2+X+2 X 0 1 X^2+2 1 1 1 X+3 X X^2 X^2+X 1 X^2+1 X^2+2 0 0 1 1 1 0 X^2+1 1 X 1 X 1 X X^2+X+1 X^2+X X^2+2 X X^2+3 1 X^2+X+1 X^2+3 1 X+2 X+2 X^2+X+3 X+3 X^2+3 2 1 X+3 0 2 2 X^2+1 X^2+3 X^2+X+1 X^2+2 X 1 X+1 X^2+X+3 X^2+X+3 X^2+2 X^2+1 X+1 X^2+3 0 1 X^2+2 X^2+X X^2+X+2 X^2 1 0 X^2+X+1 X^2+X+2 X^2+X+3 X+3 X+1 3 0 X^2+X X^2+X+1 X^2 X^2+3 2 1 X+3 X^2+3 1 X^2+X+1 X+1 X X^2+3 X^2+X+2 X 0 X^2 1 3 X+2 3 X+3 1 1 X^2+X+1 X^2+X+3 0 1 X 2 1 X^2+X+1 1 X^2+2 X+1 X+3 0 0 0 0 X X+2 2 X+2 X+2 X+2 0 X 2 X 2 2 X^2+X 2 X^2+2 X^2+X+2 X^2 X^2 X^2 X^2 X^2+X X X^2+X+2 X^2+X+2 X X 0 X+2 X^2+X+2 2 X^2+X+2 2 X^2+X X^2+X+2 X^2 X^2+2 X^2+2 X^2+X X^2+X+2 X+2 X^2+X X^2+X X^2+X X X^2+X+2 0 0 X^2 0 X^2+X+2 X^2+2 X^2 X^2+X+2 0 X 0 2 X+2 X+2 X^2+2 X^2+2 X^2+X X^2+X+2 2 X X^2+2 0 X^2 X^2+2 0 X^2+X+2 0 X^2+2 X^2 X X+2 X^2 2 X 2 X^2+2 2 X^2 X X^2+2 X^2 X^2+X+2 X^2 X+2 2 X^2+X 2 X X^2+X 0 generates a code of length 98 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 91. Homogenous weight enumerator: w(x)=1x^0+304x^91+867x^92+1888x^93+2354x^94+2928x^95+3382x^96+3840x^97+3068x^98+3724x^99+2648x^100+2680x^101+1690x^102+1240x^103+927x^104+616x^105+280x^106+112x^107+90x^108+56x^109+24x^110+8x^111+18x^112+8x^113+8x^114+4x^115+3x^116 The gray image is a code over GF(2) with n=784, k=15 and d=364. This code was found by Heurico 1.16 in 15.8 seconds.