The generator matrix 1 0 1 1 1 X^2+X 1 X^2+2 1 1 1 X+2 1 1 2 1 X^2+X+2 1 1 1 X^2 1 1 X 1 1 0 1 X^2+X 1 1 0 1 X 1 1 1 X^2+2 1 1 X 1 X^2+2 1 X^2+X 1 1 1 1 1 1 1 1 1 1 1 1 X^2+2 1 1 1 1 1 1 1 0 X^2+X X X^2 X X^2 2 X^2+2 X X^2+X X 1 1 X^2+X+2 X X+2 1 1 1 1 1 1 1 1 X 2 1 X 1 1 1 0 1 X+1 X^2+X X^2+1 1 3 1 X^2+2 X+1 X+2 1 X^2+X+3 2 1 X^2+X+2 1 X^2+3 X^2+X+1 X^2 1 X 1 1 0 X+1 1 X^2+X 1 X^2+X+3 X^2+3 1 2 1 1 X+2 X^2 1 X^2+X+2 X^2+X+1 1 X^2+3 1 X+3 1 1 X^2 X X X^2 X^2+X+2 X^2 X^2+2 2 X^2+X+2 X 0 X X^2+X X+2 X^2+2 0 X^2+X X^2+X+2 X^2 1 1 X^2+X+2 1 1 X 1 1 1 1 X^2+2 X X 1 X^2+X 1 X+1 3 X^2+3 X^2 X^2+3 X^2+X+3 X+3 1 1 X X^2 X^2+X+2 X+3 X^2+X+2 X^2+X 0 0 X^2 0 0 2 0 2 2 2 2 0 2 X^2 X^2+2 X^2+2 X^2 X^2 X^2+2 X^2 X^2+2 X^2+2 X^2+2 X^2 0 2 0 0 0 2 X^2 X^2+2 X^2 X^2 X^2+2 0 X^2+2 2 X^2+2 X^2+2 2 0 X^2+2 X^2 X^2 0 X^2 X^2+2 2 2 0 0 X^2 2 X^2 X^2+2 2 0 2 2 0 X^2+2 X^2+2 X^2 X^2 0 0 X^2+2 X^2 X^2 0 X^2 2 X^2 2 X^2+2 0 0 X^2+2 2 2 X^2+2 2 X^2 2 0 0 X^2+2 X^2 0 X^2 X^2+2 X^2+2 0 2 0 0 0 0 2 0 2 2 0 2 2 0 2 0 0 2 2 0 2 2 2 2 0 0 0 0 2 2 2 0 0 0 0 2 2 2 0 2 2 0 0 0 2 0 2 2 0 0 2 2 0 0 2 0 2 0 2 0 2 2 0 2 0 0 2 2 0 2 2 0 2 0 2 2 0 0 0 0 2 0 2 0 2 0 2 2 0 0 0 0 0 2 0 0 2 2 0 0 0 0 0 2 2 2 2 2 0 2 0 0 2 0 2 0 2 0 0 2 0 2 2 2 2 2 2 2 2 0 2 0 2 0 0 2 0 0 2 0 0 0 2 0 0 2 2 0 0 2 2 0 0 2 0 2 0 2 0 0 0 2 0 2 2 0 0 2 0 2 2 2 0 0 0 2 2 2 0 2 2 2 0 0 0 0 2 2 0 2 2 2 2 0 2 generates a code of length 96 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 91. Homogenous weight enumerator: w(x)=1x^0+204x^91+394x^92+420x^93+511x^94+380x^95+476x^96+350x^97+426x^98+354x^99+269x^100+156x^101+71x^102+46x^103+11x^104+2x^105+9x^106+2x^107+4x^110+4x^111+2x^118+2x^119+1x^124+1x^130 The gray image is a code over GF(2) with n=768, k=12 and d=364. This code was found by Heurico 1.16 in 1.39 seconds.