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 1 1 X 1 X X 1 0 X X^2+2 X^2+X 0 X^2+X X^2+2 X+2 0 X^2+X X+2 X^2+2 0 X^2+X+2 X^2 X+2 X^2+2 X^2+X X+2 0 2 X^2+X X+2 X^2+2 0 X^2+X X+2 X^2+2 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 0 X^2+X X^2+2 X+2 2 X X^2 X^2+X+2 X^2+X 0 X^2+2 X+2 X^2+X+2 0 X^2+2 X 2 X^2+X X^2 X 2 X^2+X+2 X^2 X+2 0 X^2+X X^2+2 X+2 0 2 2 X^2+X X^2+X+2 X+2 X X^2 X^2+2 X^2+X X^2+X+2 X^2 X^2+X X^2+X+2 X^2+X+2 X+2 2 2 0 X 2 X^2+X X+2 X 2 X X^2+X X X^2+X X^2+X X^2+X+2 0 0 2 0 0 0 2 0 0 0 0 2 0 0 2 0 0 2 2 2 2 2 2 0 2 2 2 0 2 2 0 2 0 0 0 0 0 2 2 2 2 2 0 0 2 2 2 0 0 0 2 0 2 2 0 2 2 0 2 0 0 2 0 2 0 0 0 0 2 2 0 0 0 0 0 2 2 2 2 0 2 2 0 2 2 0 0 2 0 2 2 0 0 0 0 0 2 0 2 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 0 2 2 0 2 0 2 0 0 2 2 2 2 2 0 0 0 0 0 0 2 2 2 2 2 0 2 0 0 0 0 0 2 2 2 0 0 2 2 2 0 0 2 0 0 2 0 2 2 0 2 0 2 2 2 2 0 0 2 2 2 0 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 2 0 0 2 2 2 2 2 0 2 2 0 0 0 0 2 2 2 2 2 2 0 2 0 0 0 2 0 0 2 0 2 0 2 2 0 2 2 0 2 2 2 0 2 2 0 0 0 0 0 2 2 0 0 0 2 2 0 0 2 2 0 0 0 0 2 0 0 0 2 0 2 0 0 2 2 2 2 2 2 0 2 2 0 0 2 2 2 2 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 2 0 2 2 0 0 2 0 2 0 2 2 2 2 0 2 0 2 0 0 0 0 0 0 2 2 2 0 2 0 2 2 0 2 0 2 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 2 0 0 0 2 2 2 2 2 0 2 2 0 0 0 2 2 0 2 2 2 2 0 0 0 2 0 0 0 0 0 2 2 2 2 generates a code of length 99 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 94. Homogenous weight enumerator: w(x)=1x^0+38x^94+72x^95+166x^96+32x^97+246x^98+944x^99+244x^100+32x^101+162x^102+72x^103+32x^104+2x^106+4x^108+1x^192 The gray image is a code over GF(2) with n=792, k=11 and d=376. This code was found by Heurico 1.16 in 1.34 seconds.