The generator matrix 1 0 1 1 1 X^2+X 1 1 X^2+2 1 X+2 1 1 1 0 1 1 X^2+X X^2+2 1 1 1 1 X+2 1 1 0 1 1 X^2+X 1 1 X^2+2 1 X+2 1 1 0 1 X^2+X 1 1 X^2+2 1 1 1 1 X+2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 0 1 1 2 1 X^2+X 1 1 1 X 1 X^2+X+2 X^2+X+2 1 1 1 1 X^2+X 2 1 1 X+2 1 1 0 1 1 0 1 X+1 X^2+X X^2+1 1 X^2+2 X^2+X+3 1 X+2 1 3 X+1 0 1 X^2+X X^2+1 1 1 X^2+2 X^2+X+3 X+2 3 1 0 X+1 1 X^2+X X^2+1 1 X^2+2 X^2+X+3 1 3 1 X+2 X^2+X 1 X+1 1 0 X^2+1 1 X^2+2 X^2+X+3 X+2 3 1 2 X^2+X X^2 X^2+X+2 X 0 0 X^2+X+2 X+2 X^2+2 X^2+X+2 2 X^2+2 X+2 X^2+2 X X^2+X X^2 X+1 1 X+1 X^2+X 1 2 X+3 1 X^2+1 1 X^2+X X^2+1 0 0 X^2+2 1 1 X^2+3 2 0 X+3 1 X X^2+2 X^2+3 1 X^2+X+2 X^2 X X^2+X X+2 0 0 2 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 0 0 0 0 0 0 2 2 2 2 2 2 2 0 0 0 0 2 2 2 2 0 0 2 2 0 2 0 0 2 0 0 2 2 2 2 0 2 0 2 0 0 0 0 2 2 2 0 2 2 0 0 2 0 0 2 2 0 2 2 2 0 0 0 0 0 2 0 2 0 2 2 0 0 0 0 2 0 0 0 0 2 2 2 2 2 2 2 0 2 2 0 2 2 0 0 0 2 0 0 0 2 0 0 2 2 0 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 2 2 2 2 0 2 0 2 2 0 0 0 2 2 0 2 0 0 0 2 0 2 0 0 0 0 0 2 0 0 0 2 2 2 2 0 0 0 0 2 0 2 0 2 2 0 2 0 0 0 0 2 0 0 2 0 0 0 2 2 2 2 2 0 2 2 2 0 2 0 2 0 2 0 0 2 0 2 0 2 0 2 2 2 0 2 0 0 0 2 2 0 0 2 2 2 2 2 2 0 0 2 2 2 0 2 0 0 0 0 0 0 2 0 2 2 0 0 2 2 0 0 2 0 0 2 0 0 2 0 2 0 0 0 2 2 2 2 2 0 0 0 2 2 0 0 0 0 0 2 2 2 2 2 0 0 2 2 2 0 2 0 0 0 0 2 2 2 2 0 2 0 2 0 0 2 0 0 2 0 2 0 0 2 0 0 2 2 2 2 2 0 2 2 2 2 0 0 0 0 0 2 0 2 0 0 2 0 2 0 0 2 2 2 2 2 0 0 2 0 2 2 2 2 0 2 2 2 2 2 2 2 0 2 2 0 0 0 2 2 2 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+267x^92+304x^93+484x^94+384x^95+443x^96+416x^97+412x^98+384x^99+408x^100+304x^101+220x^102+60x^104+4x^106+2x^108+1x^124+2x^140 The gray image is a code over GF(2) with n=776, k=12 and d=368. This code was found by Heurico 1.16 in 1.14 seconds.