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 X X 1 X X X 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 X^2 X X^2 X^2 0 2 0 0 0 0 0 0 0 0 0 0 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 0 2 2 2 0 2 2 2 0 2 2 2 0 2 2 2 0 2 2 2 0 2 2 2 0 2 2 2 0 2 2 2 0 2 0 0 0 2 0 2 0 0 0 0 0 2 0 0 2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 0 0 0 0 0 0 2 2 0 2 2 2 2 2 2 0 2 2 2 0 2 2 2 0 2 2 2 0 2 2 2 0 2 2 2 0 2 0 2 2 2 2 2 0 0 2 0 2 2 2 2 0 0 2 0 2 0 0 0 2 0 2 0 0 0 2 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 0 2 2 0 0 2 2 0 2 2 0 0 0 0 0 0 2 2 0 0 0 0 2 2 2 2 0 0 0 0 2 2 2 2 0 2 2 0 0 2 2 2 0 0 2 0 0 2 0 0 2 0 2 2 2 0 0 0 0 0 2 0 2 2 0 0 2 0 0 0 0 2 0 0 0 2 2 2 2 2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 2 2 2 0 2 2 2 2 0 2 2 0 2 2 2 2 0 2 2 0 2 2 2 2 0 2 2 2 0 2 2 2 0 2 0 2 2 0 2 0 2 2 0 2 2 0 2 0 2 0 0 0 0 0 0 0 0 2 0 2 2 2 0 0 0 0 2 2 2 2 0 0 0 2 2 2 2 0 0 0 2 2 2 2 2 2 0 0 0 2 0 2 0 0 0 2 2 2 0 2 0 2 2 0 0 0 2 0 0 0 0 2 2 0 2 2 2 2 0 0 2 0 0 2 0 2 2 0 0 2 2 0 2 0 0 2 2 2 2 0 0 0 0 0 0 2 2 0 2 2 0 2 2 2 0 0 2 0 2 2 2 0 0 2 0 2 2 2 0 0 0 2 2 2 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 0 2 0 2 2 2 2 0 2 2 0 0 0 0 0 0 2 0 0 2 2 0 2 2 0 2 0 0 0 2 0 0 2 generates a code of length 87 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 82. Homogenous weight enumerator: w(x)=1x^0+40x^82+83x^84+142x^86+512x^87+137x^88+62x^90+28x^92+10x^94+5x^96+2x^98+1x^100+1x^152 The gray image is a code over GF(2) with n=696, k=10 and d=328. This code was found by Heurico 1.16 in 74.2 seconds.