The generator matrix 1 0 1 1 X^2 1 1 1 X^2+X 1 1 0 X+2 1 1 1 1 X^2 1 1 2 1 1 2 1 1 X 1 1 X^2+X+2 1 1 0 1 X+2 1 X^2+X+2 1 X+2 1 X^2 1 1 0 1 1 1 1 1 X^2+X+2 1 2 X^2+2 X^2+X+2 1 1 2 X^2+X X+2 X^2 1 X^2 X^2+2 X^2+X X+2 X^2+X+2 X^2 X X^2+2 X+2 1 1 1 1 1 1 1 1 1 1 1 1 1 X^2+X X^2+X+2 X+2 1 1 X^2 1 X^2 1 1 1 X^2+2 1 1 1 1 0 1 1 X^2+X 1 X^2+X+1 X^2 3 1 X+1 X^2+X+2 1 1 0 X^2+3 2 3 1 X X+1 1 X^2+X X+3 1 X^2 X^2+1 1 X^2+X+3 X^2+2 1 1 X 1 X^2+3 1 X+2 1 X+1 1 X^2 1 X+2 3 1 X^2+2 X^2+X+1 2 X^2+X X+1 1 X^2+X 1 X 1 X^2+1 X^2 1 1 1 1 0 1 1 1 1 1 1 1 1 1 X+2 X^2+X+3 X^2+1 X+2 X^2+X+1 X+2 X+3 X^2+X X^2+1 X^2+X+3 1 1 X^2+1 1 1 1 X^2+X X^2 1 X+3 0 0 X+3 0 1 X+3 X^2+X+2 1 0 0 0 X 0 X+2 X X+2 2 0 2 X+2 X^2+X+2 X^2 X^2+2 X^2+2 X^2+X+2 X^2+X+2 X^2+X X^2 X^2+X X+2 X^2+X X^2 X^2 X^2 X^2+X X X^2+2 X^2+X 2 X^2 X^2+X+2 2 0 X^2+X+2 2 X^2+X X+2 X^2+2 X^2+2 X^2+X X X^2+X X^2+2 0 0 X X^2+2 X^2+X X^2+X+2 0 X+2 X^2+2 X X+2 2 X^2+X+2 X+2 0 2 X^2+X+2 X^2+2 X^2+2 X^2 X+2 X^2 X+2 X^2+X 0 2 X^2+X+2 X^2+X X^2+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 0 0 X+2 2 2 X^2+X+2 X 2 X X^2+X X X^2+2 X^2+X+2 X^2 0 0 0 0 2 0 2 2 2 2 0 0 2 2 0 2 2 0 0 2 2 2 0 0 0 2 2 0 2 0 0 0 2 2 0 2 0 0 2 0 0 2 2 2 2 2 2 0 2 0 2 0 0 2 0 0 2 0 2 0 2 0 2 0 2 0 0 2 2 0 2 0 0 0 0 2 0 2 2 2 0 0 2 2 0 0 2 2 0 0 0 0 2 0 2 0 0 2 2 0 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+78x^94+508x^95+393x^96+642x^97+292x^98+572x^99+244x^100+478x^101+262x^102+368x^103+101x^104+74x^105+16x^106+24x^107+6x^109+6x^110+16x^111+12x^112+1x^120+2x^134 The gray image is a code over GF(2) with n=792, k=12 and d=376. This code was found by Heurico 1.16 in 1.5 seconds.