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^2 0 1 1 X X 1 0 X^2+2 0 X^2 0 0 X^2 X^2+2 2 2 X^2+2 X^2+2 2 0 X^2 X^2 2 0 X^2 X^2+2 2 2 X^2 X^2 X^2 0 X^2 0 0 0 X^2+2 X^2 0 2 X^2 X^2+2 0 0 X^2 X^2+2 X^2+2 X^2 2 2 X^2+2 0 2 X^2+2 X^2+2 2 X^2+2 X^2 2 X^2+2 0 2 X^2 0 2 X^2+2 0 X^2+2 0 X^2+2 X^2+2 X^2+2 X^2+2 X^2+2 X^2+2 X^2 X^2 2 2 0 0 X^2 X^2+2 0 0 2 2 0 2 X^2 X^2+2 X^2 X^2 X^2 0 0 X^2+2 X^2 0 X^2+2 X^2 0 X^2 2 X^2+2 0 X^2+2 2 X^2+2 0 X^2 0 X^2+2 2 X^2+2 2 X^2+2 2 0 0 X^2 X^2+2 2 X^2+2 X^2 0 0 X^2 X^2 2 2 X^2 X^2 0 X^2+2 2 2 X^2 X^2 X^2 0 0 X^2+2 0 2 0 X^2 X^2 0 X^2 X^2+2 0 0 X^2+2 X^2 2 X^2 0 X^2 2 2 X^2+2 0 2 2 X^2 X^2+2 X^2+2 X^2 0 X^2+2 2 2 0 0 X^2+2 X^2 X^2 X^2 X^2+2 X^2 X^2 0 0 0 2 0 0 2 0 2 2 0 2 2 2 0 2 0 2 0 0 2 0 2 2 2 0 0 2 2 0 2 0 0 0 0 0 0 0 0 2 2 0 0 2 0 2 2 0 2 0 2 0 0 0 2 2 2 2 2 2 2 0 0 2 2 2 2 2 0 2 0 2 2 2 2 2 0 2 2 0 0 0 2 2 0 2 0 2 0 0 0 0 2 0 2 2 2 2 0 2 0 0 2 0 2 2 0 0 2 0 2 2 0 2 2 0 0 2 0 2 0 0 0 0 0 2 2 0 2 2 2 2 2 0 0 2 0 2 2 0 0 0 2 0 2 0 2 0 2 2 2 0 0 2 0 2 0 0 0 0 0 2 2 2 2 2 2 0 0 0 0 2 2 2 2 2 0 0 0 0 0 2 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 2 0 2 0 0 2 0 0 2 0 0 2 2 0 2 2 0 2 2 2 2 0 0 2 0 0 2 2 0 0 0 2 0 0 0 0 2 2 2 0 2 0 2 0 0 0 2 0 2 2 0 2 0 0 2 0 generates a code of length 88 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 82. Homogenous weight enumerator: w(x)=1x^0+51x^82+142x^84+114x^86+512x^87+427x^88+512x^89+108x^90+122x^92+38x^94+11x^96+9x^98+1x^168 The gray image is a code over GF(2) with n=704, k=11 and d=328. This code was found by Heurico 1.16 in 0.922 seconds.