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 1 1 1 1 1 1 1 1 1 1 0 X^2+2 0 X^2 0 0 X^2 X^2+2 0 0 X^2 X^2+2 0 0 X^2 X^2+2 0 0 X^2 X^2+2 0 0 X^2 X^2+2 0 2 X^2 X^2 2 X^2 2 X^2 X^2 0 X^2+2 2 0 X^2+2 2 X^2 2 0 X^2+2 X^2 X^2+2 2 X^2 2 X^2+2 2 X^2+2 0 X^2 0 2 X^2 X^2 X^2 2 0 X^2+2 2 0 X^2 X^2 X^2+2 2 2 2 X^2+2 X^2 2 2 2 X^2 X^2+2 0 0 X^2 X^2+2 0 2 X^2+2 X^2 0 2 X^2+2 X^2+2 X^2+2 X^2+2 X^2 0 0 X^2+2 X^2 0 X^2+2 X^2 0 X^2+2 0 X^2 0 0 X^2+2 X^2 0 0 X^2+2 X^2 0 0 X^2+2 X^2 0 2 X^2 0 X^2+2 2 0 X^2+2 X^2+2 2 2 X^2+2 X^2+2 2 X^2+2 X^2+2 2 0 X^2 2 X^2+2 X^2 2 0 X^2 2 2 X^2 X^2 2 2 X^2 X^2+2 0 X^2+2 X^2 0 X^2 X^2+2 2 2 X^2+2 2 2 X^2+2 2 X^2+2 2 X^2+2 2 2 2 2 X^2 X^2 0 X^2+2 2 0 X^2 2 2 0 X^2+2 X^2 0 2 X^2 0 0 0 2 0 0 2 0 0 0 2 0 0 0 2 0 2 2 0 2 2 2 0 2 2 2 2 0 2 2 2 0 2 2 0 2 0 2 0 0 0 0 0 2 2 0 2 2 2 2 0 2 2 2 2 2 0 0 0 2 0 0 0 0 2 2 0 2 2 2 0 0 2 0 2 0 2 0 0 2 2 2 2 0 0 0 0 0 2 2 2 0 0 0 0 2 0 2 2 2 0 2 0 2 2 0 2 2 2 0 2 2 2 0 2 0 0 0 2 0 0 0 2 0 0 2 0 2 0 2 2 2 2 2 2 2 0 2 2 2 2 0 2 0 2 0 0 0 0 0 0 2 0 0 0 2 0 0 2 0 2 2 2 2 2 2 0 0 0 0 0 2 2 0 0 0 0 0 2 0 0 2 0 0 0 0 0 2 0 0 2 2 2 2 2 0 2 2 0 0 0 0 2 2 2 2 0 2 0 0 2 2 0 2 2 2 2 2 2 2 2 2 0 0 0 2 0 0 2 2 0 2 0 0 0 0 0 0 0 2 2 0 0 0 2 2 0 2 2 2 0 2 0 0 0 2 2 2 2 0 2 0 2 2 2 0 0 0 2 2 0 0 2 generates a code of length 91 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 86. Homogenous weight enumerator: w(x)=1x^0+59x^86+96x^87+68x^88+1600x^91+68x^94+96x^95+59x^96+1x^182 The gray image is a code over GF(2) with n=728, k=11 and d=344. This code was found by Heurico 1.16 in 3.42 seconds.