The generator matrix 1 0 0 0 1 1 1 X+2 X^2+X 1 1 1 1 X^2+X X 0 X^2+2 1 1 1 1 1 X X^2+X X X 1 X+2 1 X 1 0 2 X+2 1 1 1 1 X^2+X 1 X X^2+X+2 1 1 1 2 X^2 1 1 X+2 X^2+2 2 1 1 1 1 1 X^2+2 X+2 1 X+2 1 2 X 1 X^2+2 2 X^2+2 X^2 1 1 X^2+X 1 X+2 0 1 X^2+X 1 2 X 1 X X 1 1 1 1 1 X 1 1 1 X^2+X+2 X^2+2 1 0 1 0 0 2 X^2+3 X+3 1 0 X^2+2 X^2 X^2+X+3 X^2+1 1 1 X+2 1 1 X^2+X+3 X^2+X X^2 0 X X 1 1 X^2+3 X+2 X^2+X 1 X^2+3 1 1 0 X^2+2 X+1 0 3 1 X^2+X+2 2 1 X 1 X+1 1 X^2+X 1 X^2 X 1 X^2+X+2 X^2+X+2 X^2+3 X^2+X+2 X+1 X^2+X+3 X^2+2 X^2 X^2+3 0 2 1 X^2+X+2 X^2+2 1 X^2+X 1 X^2+X X+3 X+3 1 X^2+X 1 X^2 X+1 1 3 2 1 X^2+X+1 1 1 X^2+X+1 2 X^2+1 X+2 1 X^2 X^2 X^2+3 X+1 1 1 0 0 0 1 0 X^2+2 2 X^2 X^2 1 X^2+X+1 1 X+3 3 X^2+1 3 1 0 X+3 X X+2 X^2 3 X+2 1 X^2+X+3 2 X+2 1 X+3 X+1 X^2+3 X^2+X+3 X+2 1 X^2+X X+3 X+1 2 X+1 X^2+X+2 X^2+X X^2 X^2+X+1 X^2+X+3 X^2+X 0 1 X^2+X X+2 X^2+2 X^2+3 X+2 1 X^2+2 X^2 3 X^2 1 1 3 1 X^2+1 X^2+2 1 X^2+X 1 1 X^2+X+1 X^2+2 X+1 X^2+1 X^2+X 3 X^2+X+1 1 0 0 X+2 X 3 X^2+1 0 X^2+X+1 2 X^2+X+2 X^2+1 X^2+X+2 X^2+3 1 X+1 X^2 X+1 X+2 1 0 0 0 0 1 X^2+X+1 X^2+X+3 2 X+1 X^2+1 X+1 0 X+2 X^2+1 X^2+1 X^2+X+2 X^2+1 X^2+3 X^2+X+1 X^2+X X+1 X^2+X+2 X+2 1 X^2+X X^2 X+2 1 X^2+X+1 X^2+1 X^2+1 0 X^2+X+2 X^2+X+1 X^2+2 X^2+X+1 X^2+X+3 X^2+1 X^2+X+2 X+1 X^2+2 1 0 X^2+2 2 2 X+1 X X+1 X^2 1 2 1 X^2+X X^2+2 X+1 X^2+3 1 X+2 X^2+X+1 X X^2+X 3 X^2+X X^2+3 X X^2+X+3 0 X+2 1 X^2+2 X X X+3 X+2 X^2+X+3 1 X^2+3 3 1 X^2+3 X^2+2 X^2+X X+1 X^2 X^2+1 X 3 X^2+X+1 X X^2+X X+2 X^2+1 X+1 X^2+2 0 generates a code of length 95 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 87. Homogenous weight enumerator: w(x)=1x^0+118x^87+1034x^88+2108x^89+3238x^90+4368x^91+5748x^92+6594x^93+6531x^94+7410x^95+6511x^96+6116x^97+5191x^98+3918x^99+2802x^100+1634x^101+1085x^102+572x^103+274x^104+150x^105+63x^106+26x^107+30x^108+4x^109+4x^110+4x^111+2x^113 The gray image is a code over GF(2) with n=760, k=16 and d=348. This code was found by Heurico 1.16 in 61.2 seconds.