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 X^2 1 X 1 1 X 1 X^2+2 1 1 2 1 1 X X X 2 0 X^2+2 X^2+2 X X 1 0 0 X 1 0 X 0 X 0 2 X+2 X X^2 X^2+X X^2 X^2+X+2 X^2 X^2+2 X^2+X+2 X^2+X+2 0 X^2+2 X X^2+X+2 X 0 2 X+2 X^2+X X^2 X^2 X^2+X X+2 0 X^2+X+2 X^2+2 X X^2 X^2+X+2 2 X^2 X^2 X+2 X+2 2 X+2 0 X+2 X+2 X+2 0 X^2+2 X^2+2 2 X^2+2 0 0 X^2+X+2 X^2+X X+2 X^2+X+2 X^2+X X^2+X+2 X^2+2 X^2 X^2+X X^2+X+2 2 0 X^2+2 X^2 X^2 X X+2 X^2+X X^2 2 X+2 X^2 X X^2 X^2+2 X 0 X^2+X+2 X X^2+X+2 X^2+X X^2 X X X X+2 X^2+X+2 X^2+X+2 X X X X^2+2 0 0 X X X^2+2 X^2+X+2 X^2+X X^2 X^2 X^2+X+2 X 0 2 X^2+X+2 X+2 X^2 0 X+2 X X^2 X^2+X+2 X X^2+2 X^2+2 X^2+X+2 0 X^2+X 2 2 X^2+X X+2 X^2+2 X^2+X X X^2+2 X^2+2 0 X^2+X+2 X X^2+2 X 2 0 X+2 X^2+X+2 2 2 X^2+X+2 X X^2+X+2 X^2 X^2+X+2 X^2+2 X+2 X X^2 X^2+2 X^2+X X^2+X X^2+2 2 2 2 X+2 X+2 2 X X^2+X+2 X^2 0 X^2+X X^2 X+2 0 X^2+2 0 0 X X+2 X^2+X 2 X^2+2 X^2 X X 0 X^2+X X^2+X X^2+X X X^2+X+2 X+2 2 X^2+2 X^2+2 0 0 0 2 0 0 2 0 2 0 2 2 2 2 0 2 0 2 0 2 0 0 2 0 2 0 0 0 2 2 2 2 2 0 0 0 0 0 0 2 2 2 2 2 0 0 2 2 0 2 0 0 2 2 0 2 0 2 0 0 2 0 2 2 0 0 2 2 0 2 0 0 0 2 2 0 2 0 2 0 0 0 2 2 0 0 0 2 0 2 2 0 2 0 2 0 0 0 0 2 2 2 2 2 2 0 0 0 2 0 2 2 2 0 0 2 2 2 0 0 0 0 2 2 0 2 0 0 0 0 0 2 2 2 2 2 0 0 2 0 2 2 0 2 2 2 0 0 0 2 0 2 2 0 0 2 0 2 0 0 0 2 2 2 0 0 2 2 2 2 2 0 0 0 2 0 2 0 0 0 0 0 0 2 2 0 0 2 0 2 generates a code of length 95 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 89. Homogenous weight enumerator: w(x)=1x^0+48x^89+304x^90+310x^91+346x^92+378x^93+520x^94+486x^95+436x^96+380x^97+280x^98+226x^99+161x^100+58x^101+71x^102+34x^103+47x^104+8x^106+1x^118+1x^156 The gray image is a code over GF(2) with n=760, k=12 and d=356. This code was found by Heurico 1.16 in 1.47 seconds.