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 X X 1 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 2 X^2+X+2 X^2 X+2 0 X^2+X X+2 X^2+2 X^2+X 0 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 X^2+X 0 X^2+2 X+2 2 X^2+X+2 X^2 X 0 X^2+X X^2+2 X+2 0 X^2+X X^2 X 2 X^2+X+2 X^2+2 X+2 2 X^2+X+2 X^2 X 0 X^2+X X^2+2 X^2+X X^2+X+2 X^2+X+2 0 2 2 X+2 X^2+2 X^2 X X+2 X^2 X 0 2 2 X^2+X X^2+X+2 X^2+X+2 0 X^2+X+2 X X 2 X X+2 X^2+X X^2+X X^2 0 0 0 2 0 0 0 2 0 0 0 0 2 0 0 2 0 0 2 2 2 2 0 2 2 0 2 2 2 0 2 2 2 2 0 0 2 2 2 0 0 0 2 0 2 2 2 0 0 2 0 0 2 2 2 0 0 2 2 0 0 2 0 0 2 0 0 0 0 0 0 2 2 0 0 2 2 2 2 0 0 0 0 0 2 2 0 2 2 2 0 2 0 0 0 2 2 0 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 0 2 2 2 2 2 2 0 0 0 0 0 2 0 0 2 0 0 2 2 0 2 0 0 2 2 2 0 0 2 2 2 2 2 2 2 0 0 0 2 2 0 0 2 2 2 2 0 0 0 0 2 0 0 2 0 2 0 2 2 0 0 0 0 0 2 0 2 0 0 2 2 2 2 2 0 2 2 0 0 0 2 2 2 0 0 2 2 2 0 0 2 0 0 0 0 0 2 2 2 0 2 2 0 2 0 0 2 2 0 2 0 2 0 2 0 2 2 0 2 0 2 0 2 0 2 2 2 0 0 2 2 2 2 0 0 0 2 0 2 2 0 0 2 0 2 2 2 0 2 2 0 0 0 2 0 2 2 0 0 0 0 0 2 0 2 2 2 0 2 2 0 2 2 0 0 2 0 0 2 2 2 2 2 0 2 0 2 0 0 0 0 0 0 2 2 2 0 2 2 0 2 0 0 2 2 2 0 2 0 2 0 2 0 0 2 0 2 0 2 0 2 2 0 0 2 0 2 0 2 0 0 2 2 0 2 0 2 0 2 2 0 0 0 0 0 2 0 2 2 0 0 0 2 0 generates a code of length 97 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 92. Homogenous weight enumerator: w(x)=1x^0+40x^92+92x^93+55x^94+208x^95+33x^96+1192x^97+34x^98+208x^99+52x^100+92x^101+36x^102+2x^104+2x^106+1x^190 The gray image is a code over GF(2) with n=776, k=11 and d=368. This code was found by Heurico 1.16 in 1.25 seconds.