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 X 0 1 X^2 1 X^2 1 0 X X^2+2 X^2+X 0 X^2+X X^2+2 X+2 X^2+X 0 X+2 X^2+2 2 X+2 X^2 X^2+X X^2+X+2 0 X^2+2 X+2 0 X^2+X X^2+2 X+2 0 X^2+X X^2+2 X+2 0 X^2+X X^2+2 X+2 2 X^2+X+2 X X^2 X^2+X+2 2 X X^2 0 X^2+X 2 X^2+X+2 X^2+2 X+2 X X^2 X^2+X X^2+2 X^2+X+2 X^2+2 X^2+X X^2 X^2 X^2+X+2 0 0 2 2 X+2 X+2 X X 0 X^2+X 0 2 2 X^2+X X^2+X+2 X^2+X+2 0 2 X^2+X X^2+X+2 0 X^2+X X^2 X^2 X^2+2 X^2+X X 2 X^2+2 X^2+X+2 X^2+2 X+2 0 0 2 0 0 0 2 0 2 0 2 2 0 2 2 0 2 0 2 0 0 2 2 2 0 0 0 2 2 0 2 2 2 0 2 0 2 0 0 2 2 0 2 0 0 2 2 0 2 0 2 0 2 0 0 2 2 2 2 2 0 0 0 0 0 0 0 0 0 2 2 0 2 2 0 0 2 2 2 2 0 0 2 2 2 0 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 0 0 0 2 2 2 2 0 0 2 2 0 2 0 2 2 0 0 0 2 2 2 0 2 2 0 0 0 2 2 0 0 0 2 2 0 2 2 0 2 2 2 2 0 0 0 0 2 0 2 2 2 2 0 2 0 0 0 0 2 0 2 2 2 0 0 2 2 2 0 2 0 2 0 2 0 2 2 0 2 2 0 0 0 0 2 2 2 0 0 0 0 0 0 0 0 2 2 2 0 2 2 0 0 2 0 2 2 2 2 2 0 2 0 2 0 2 0 2 2 0 0 0 2 0 2 2 2 2 2 0 2 2 0 2 2 2 0 0 2 0 2 2 0 0 0 0 0 2 0 2 2 2 2 2 2 0 2 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 0 0 2 2 2 2 2 0 2 0 0 0 0 2 0 0 2 2 0 2 0 2 0 0 2 2 0 2 2 0 0 2 0 2 0 0 2 0 2 0 2 0 2 0 0 0 2 2 2 0 2 2 0 2 2 generates a code of length 88 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 83. Homogenous weight enumerator: w(x)=1x^0+80x^83+62x^84+138x^85+166x^86+364x^87+449x^88+358x^89+148x^90+128x^91+62x^92+78x^93+6x^94+4x^95+1x^96+2x^97+1x^168 The gray image is a code over GF(2) with n=704, k=11 and d=332. This code was found by Heurico 1.16 in 0.938 seconds.