The generator matrix 1 0 0 1 1 1 0 2 0 X^2 1 1 1 1 1 1 X^2+X+2 X^2+X+2 1 1 X^2+X X^2+X 1 1 1 X^2+X+2 1 X 1 1 1 1 X^2 1 X X^2+2 1 0 X^2+X+2 1 X^2 1 0 1 X^2+X X^2+2 1 X+2 1 2 1 1 1 1 X^2+X X^2+X+2 2 1 1 X^2+2 X^2+X+2 1 1 X+2 2 1 1 X+2 1 1 1 X 1 1 1 1 1 1 X^2+2 1 1 X 1 1 X^2+X+2 1 1 X^2+X+2 1 X^2 1 1 1 1 1 X^2+2 1 0 1 0 0 X^2+3 X^2+1 1 X^2+X 1 1 2 X^2+1 X^2+1 0 X+3 X+2 X^2+X+2 1 X+2 X^2+X+3 1 X^2 X^2+X X+2 X^2+X+3 1 X+1 1 X^2 X+3 X^2+X+1 X^2+X 1 X^2+X+2 1 2 X 1 X^2 1 1 3 1 2 X 1 X^2 X^2+X+2 1 1 X^2+X X^2+1 X^2+X+2 X 1 1 X+2 0 3 1 1 X+1 X^2+X+2 1 1 X+1 X+1 1 X^2+X+2 X 1 1 2 X^2 X^2+X 0 X+2 X^2+1 X^2 X^2+X+1 X^2+2 1 X+3 0 1 0 X^2+X+3 X X^2+1 1 X^2+3 X^2+X X+1 X+3 X^2+X+1 1 X^2+X+2 0 0 1 X+1 X+3 2 X^2+X+1 1 X^2+X+2 1 X^2+X+2 X^2+X X^2+3 X^2+1 X+3 X+3 1 X^2+X X^2 2 3 1 1 X+2 X^2+1 X^2 X X^2+X+1 X^2+X+1 X^2+X+1 X^2+2 0 X^2+X+3 X^2+X+2 X 1 1 X^2+X+2 1 X^2+X+2 X^2 X^2+X+3 X^2+3 X^2+X 1 X^2+3 X+1 1 X^2+3 X+3 3 X^2 X^2+X+1 0 1 0 1 X^2+2 X^2 X^2+X X^2+X+1 X^2+1 0 X^2+X X^2+X+3 0 X+3 X^2+2 X+2 X+3 X^2+2 X+1 X^2+2 3 1 X^2+3 X^2+X+3 X+3 1 X+1 X^2 1 X X 1 X^2+X+3 X+3 1 X^2+1 2 X X^2+3 X+2 2 X X^2 X^2 0 0 0 X^2 X^2 0 X^2 X^2+2 X^2+2 0 X^2 X^2 2 2 2 0 0 X^2+2 2 2 0 X^2+2 X^2 X^2 X^2 2 X^2+2 X^2+2 X^2+2 0 X^2+2 0 2 X^2+2 2 X^2+2 X^2+2 0 2 2 X^2+2 X^2+2 2 0 2 X^2 0 X^2 X^2+2 X^2+2 2 X^2 X^2 X^2+2 X^2 X^2 2 2 0 2 0 0 2 0 0 X^2 X^2+2 0 0 X^2 X^2+2 X^2+2 X^2 0 0 X^2+2 2 2 X^2 2 X^2 2 2 X^2+2 2 X^2 X^2+2 X^2+2 0 X^2+2 X^2+2 0 0 0 X^2+2 0 0 generates a code of length 97 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 91. Homogenous weight enumerator: w(x)=1x^0+262x^91+845x^92+1544x^93+1569x^94+1958x^95+1671x^96+1886x^97+1612x^98+1344x^99+989x^100+1024x^101+599x^102+434x^103+286x^104+142x^105+76x^106+94x^107+9x^108+12x^109+15x^110+4x^111+2x^112+5x^116+1x^118 The gray image is a code over GF(2) with n=776, k=14 and d=364. This code was found by Heurico 1.16 in 4.81 seconds.