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 2 1 2 1 1 1 1 0 X 0 X^2+X+2 2 X^2+X 2 X+2 0 X^2+X 2 X+2 2 X^2+X+2 0 X 0 X^2+X+2 2 X+2 2 X^2+X X 2 0 X^2+X+2 2 X^2+X+2 2 X 0 X+2 X^2+2 X^2+X+2 X^2 X+2 X^2 X^2+X X^2+2 X+2 X^2+X X^2+2 X^2+2 X X^2+2 X^2+X X X^2+2 X^2+2 X X^2+X X^2 X^2+2 X+2 X^2 X^2+X+2 X^2 X^2+X+2 X^2+2 X+2 X^2+2 X^2 X^2+X+2 X 2 X^2+X X X^2+X X+2 2 X^2+X+2 X 2 0 X+2 0 2 0 X^2 X^2+2 X^2 X X X^2+X+2 X^2+X+2 X^2 X^2 X^2+2 X^2+X X X^2+X+2 X^2+2 2 X+2 0 X^2 0 X^2+X X^2+X 0 0 X^2+2 0 0 X^2+2 X^2 X^2 0 0 0 0 X^2 X^2+2 X^2+2 X^2 2 2 2 2 X^2+2 X^2 X^2+2 X^2 X^2+2 X^2 X^2 2 2 X^2+2 2 2 X^2 X^2 X^2+2 X^2+2 0 0 0 2 X^2 X^2 X^2 X^2+2 0 2 0 2 0 0 2 X^2+2 2 X^2 X^2 X^2+2 X^2+2 0 X^2+2 X^2 2 2 X^2+2 2 X^2+2 X^2+2 2 2 X^2+2 2 X^2 0 2 X^2 X^2 X^2+2 0 X^2 0 X^2+2 2 2 X^2+2 2 X^2 2 0 X^2+2 0 X^2 0 X^2 0 0 0 X^2 0 X^2+2 X^2 0 0 0 X^2+2 X^2 X^2+2 X^2 0 2 X^2 X^2+2 2 X^2+2 X^2 2 2 2 X^2+2 X^2+2 2 X^2 X^2 0 0 X^2+2 X^2+2 2 X^2 0 2 X^2 0 X^2 0 2 X^2 X^2+2 2 0 X^2+2 2 X^2+2 2 X^2+2 X^2 2 X^2 2 2 X^2+2 0 X^2 X^2+2 X^2 0 2 0 0 X^2+2 X^2+2 X^2 0 0 X^2 0 X^2 2 X^2 2 2 X^2 2 X^2 X^2+2 2 X^2 0 2 X^2 0 X^2+2 X^2+2 X^2 0 2 2 2 X^2 X^2+2 X^2+2 2 0 2 X^2+2 2 X^2 X^2 2 X^2+2 generates a code of length 99 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 95. Homogenous weight enumerator: w(x)=1x^0+92x^95+75x^96+544x^97+83x^98+564x^99+32x^100+480x^101+32x^102+100x^103+20x^104+12x^106+12x^107+1x^194 The gray image is a code over GF(2) with n=792, k=11 and d=380. This code was found by Heurico 1.16 in 29.1 seconds.