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 2 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 X 1 0 1 1 1 1 X 1 0 1 X^2+2 1 X^2+2 1 1 X 2 1 X 1 1 1 0 1 1 1 X 1 0 X 0 X 0 2 X+2 X X^2 X^2+X X^2 X^2+X+2 X^2 X^2+2 X^2+X+2 X^2+X+2 0 X^2+2 X X^2+X+2 X 0 2 X+2 X^2+X X^2 X^2 X^2+X X+2 0 X^2+X+2 X^2+2 X X^2 X^2+X+2 2 X^2 X^2+2 0 X+2 X+2 2 X+2 X^2+X X^2 X^2 X X^2+X+2 0 X^2+X 2 0 X^2+X X^2+X+2 X 2 X^2+X+2 X 0 X X^2+X+2 X X^2+2 X^2 X^2+2 X+2 X^2+2 X^2+2 X^2+X+2 2 2 X 0 X+2 X^2+X 0 X^2+2 X X X X+2 2 2 X X+2 X^2+X X^2 X X^2+X 2 0 X^2+2 X^2+X 0 X+2 X^2+X X^2+2 X^2 0 0 0 X X X^2+2 X^2+X+2 X^2+X X^2 X^2 X^2+X+2 X 0 2 X^2+X+2 X+2 X^2 0 X+2 X X^2 X^2+X+2 X X^2+2 X^2+2 X^2+X+2 0 X^2+X 2 2 X^2+X X+2 X^2+2 X^2+X X X^2+2 X^2+2 0 X^2+X+2 X^2+X+2 X 0 0 X^2 X^2+X X^2+X+2 2 0 X^2+X X^2+X+2 2 X^2 0 X 2 X^2 X+2 X^2 X X+2 X^2+2 X+2 X^2+X X^2+2 X^2+2 X+2 X^2+2 X X X^2+2 X^2+X+2 X^2+X+2 X+2 X X^2 X X^2+X X^2+X X^2+2 X^2 0 2 X X 0 X^2+2 X^2+2 X X^2+2 2 X^2+X+2 X X^2+X+2 X^2+X+2 X 0 X+2 0 X X^2+2 0 0 0 2 0 0 2 0 2 0 2 2 2 2 0 2 0 2 0 2 0 0 2 0 2 0 0 0 2 2 2 2 2 0 0 0 0 2 2 0 2 2 2 2 0 2 0 0 0 2 2 2 2 0 0 2 0 2 2 2 0 0 0 0 0 2 0 2 0 0 2 2 0 0 0 2 2 2 0 0 0 2 0 0 2 2 0 2 0 2 2 0 2 0 0 0 2 0 2 0 0 0 0 2 2 2 2 2 2 0 0 0 2 0 2 2 2 0 0 2 2 2 0 0 0 0 2 2 0 2 0 0 0 0 0 2 0 2 2 0 0 2 2 2 2 2 0 0 2 0 2 0 0 0 0 2 2 2 0 2 0 2 0 2 2 2 0 0 0 0 2 2 2 2 2 0 2 0 2 2 2 2 0 0 2 2 0 0 2 0 2 2 0 2 0 2 0 0 generates a code of length 99 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 93. Homogenous weight enumerator: w(x)=1x^0+118x^93+241x^94+192x^95+362x^96+332x^97+700x^98+328x^99+712x^100+282x^101+309x^102+136x^103+175x^104+108x^105+29x^106+24x^107+25x^108+4x^109+8x^111+4x^112+4x^113+1x^122+1x^172 The gray image is a code over GF(2) with n=792, k=12 and d=372. This code was found by Heurico 1.16 in 1.67 seconds.