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 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X X X X X X X X X X X X X X X X X X X X X X X X X X 2 X X X X X X 2 1 0 X^2+2 0 X^2+2 0 X^2+2 0 X^2+2 0 X^2+2 0 X^2+2 0 X^2+2 0 X^2+2 0 X^2+2 0 X^2+2 0 X^2+2 0 X^2+2 0 X^2+2 0 X^2+2 0 X^2+2 0 X^2+2 2 X^2 2 X^2 2 X^2 2 X^2 2 X^2 2 X^2 2 X^2 2 X^2 2 X^2 2 X^2 2 X^2 2 X^2 2 X^2 2 X^2 2 X^2 2 X^2 X^2+2 X^2+2 X^2+2 X^2+2 X^2+2 X^2 X^2+2 X^2 X^2+2 X^2 X^2+2 X^2 X^2+2 X^2+2 X^2 X^2 0 0 0 2 0 0 0 2 0 2 2 0 2 0 0 2 2 2 0 0 0 2 0 0 0 2 0 0 0 0 0 2 0 2 0 0 2 0 2 0 2 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 0 0 0 0 2 2 2 2 0 2 0 0 2 0 2 2 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 2 0 2 2 2 2 2 2 2 2 2 2 0 2 0 2 0 2 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 0 0 0 0 0 0 2 2 2 2 0 0 0 2 0 2 0 2 2 0 0 0 0 0 0 0 0 2 0 2 0 0 2 2 2 2 2 0 2 2 0 2 0 0 2 0 2 0 2 0 2 2 0 2 0 0 0 0 0 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 0 0 0 0 0 0 2 2 2 0 2 0 0 0 2 2 2 0 0 2 0 2 2 0 0 2 2 0 2 2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 0 2 0 2 2 0 0 2 2 2 2 0 0 0 0 2 2 2 2 0 0 0 0 2 2 2 2 0 0 0 0 2 2 2 2 0 0 0 0 2 2 2 2 0 0 0 0 2 2 2 2 0 0 0 2 2 0 0 0 2 2 0 2 2 0 0 0 2 2 2 2 0 0 0 0 2 2 0 2 0 2 0 2 2 0 0 0 0 generates a code of length 99 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 96. Homogenous weight enumerator: w(x)=1x^0+43x^96+550x^97+43x^98+256x^101+20x^104+88x^105+20x^106+2x^129+1x^130 The gray image is a code over GF(2) with n=792, k=10 and d=384. This code was found by Heurico 1.16 in 1.25 seconds.