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 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 1 1 1 0 2 1 0 X 0 X^2+X X^2 X^2+X+2 X^2+2 X 2 X^2+X X^2+X+2 X^2 X 2 X X^2 X^2+2 X^2+X 0 X^2+X+2 2 X X^2+2 X 2 X^2+X X^2+2 X^2+X+2 0 X X^2 X 0 X^2+X X^2 X^2+X+2 2 X X^2+2 X 2 X^2+X+2 X^2 X 0 X^2+2 X^2+X+2 X+2 0 X^2+X+2 X^2+2 X+2 2 X^2+X X^2 X+2 2 X^2+X X^2 X+2 X^2+X 2 X^2 X 0 X^2+X X^2+2 X+2 2 X+2 X^2 X^2+X+2 2 X^2 X^2+X X+2 2 X^2+X+2 X^2+X X^2+2 X^2+X 0 0 0 X^2+X+2 0 X^2+X X^2+X X+2 X^2 X X^2+X+2 X^2+2 X+2 0 2 X^2 2 X^2 0 0 X^2+2 0 X^2 X^2 0 X^2 X^2 2 X^2+2 2 X^2+2 2 2 X^2 X^2+2 0 0 X^2 X^2 X^2 0 0 2 2 X^2+2 X^2+2 X^2+2 X^2+2 2 2 0 0 X^2 X^2 X^2 X^2 0 0 2 X^2+2 2 X^2+2 X^2+2 X^2+2 2 2 2 2 2 2 X^2+2 X^2+2 X^2+2 X^2+2 0 0 0 0 X^2 X^2 X^2 X^2 2 X^2+2 2 0 X^2+2 X^2 X^2+2 2 0 0 X^2+2 2 X^2+2 2 2 X^2 X^2+2 X^2 2 X^2 0 2 X^2 X^2 X^2 X^2+2 0 X^2+2 0 0 0 0 0 0 X^2 0 0 0 2 0 0 2 2 0 2 0 2 2 0 0 2 2 0 2 2 2 0 0 2 2 0 0 2 2 0 0 2 0 0 0 0 0 0 0 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 2 0 2 0 0 2 0 2 0 0 2 0 2 0 2 2 0 0 0 0 2 0 2 0 0 2 2 2 0 0 2 2 0 0 2 0 0 0 0 2 0 0 0 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 2 2 0 0 2 2 2 0 0 2 0 0 2 0 2 2 0 0 0 2 2 0 2 2 0 0 0 2 2 2 0 0 0 2 0 0 0 0 2 2 0 2 2 2 0 2 0 2 2 2 0 2 0 2 0 0 0 0 2 0 2 0 0 2 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+318x^96+256x^97+320x^98+512x^99+128x^100+256x^101+64x^102+192x^104+1x^192 The gray image is a code over GF(2) with n=792, k=11 and d=384. This code was found by Heurico 1.16 in 109 seconds.