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 X 1 X 1 X 1 X X 2X+2 1 0 2X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2X 0 2X 2X 0 0 2X 2X 0 2X 2X 0 0 2X 2X 2X 0 2X 2X 0 0 2X 0 2X 2X 0 0 2X 2X 0 2X 2X 0 0 2X 0 2X 2X 2X 0 2X 2X 2X 2X 2X 0 2X 0 2X 0 0 2X 2X 0 2X 2X 2X 0 0 2X 0 0 2X 0 0 2X 2X 0 0 2X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2X 2X 2X 0 0 2X 2X 0 2X 2X 0 0 2X 2X 0 0 2X 2X 2X 0 2X 0 2X 0 2X 0 2X 2X 0 2X 0 2X 2X 0 2X 2X 2X 0 0 0 0 2X 2X 2X 0 2X 2X 2X 0 2X 2X 0 2X 2X 0 2X 0 0 2X 0 2X 0 0 0 2X 2X 2X 0 0 0 2X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2X 2X 0 2X 2X 2X 0 0 0 2X 2X 2X 2X 2X 2X 0 0 0 0 2X 2X 0 0 2X 2X 2X 0 0 2X 2X 0 2X 0 2X 2X 2X 0 2X 0 2X 0 0 2X 2X 0 2X 0 0 2X 0 2X 2X 0 2X 2X 2X 0 2X 0 2X 2X 2X 0 2X 0 0 2X 0 0 0 0 2X 0 0 0 0 0 0 0 2X 2X 2X 2X 2X 2X 2X 0 0 0 0 2X 2X 2X 2X 2X 2X 0 2X 0 2X 0 2X 2X 2X 2X 2X 2X 2X 0 2X 2X 0 2X 2X 0 0 0 0 2X 2X 2X 2X 0 2X 2X 0 2X 0 0 0 2X 2X 0 0 2X 0 2X 2X 2X 0 0 0 0 0 2X 0 0 2X 0 2X 0 0 2X 0 0 0 0 0 2X 0 0 0 2X 2X 2X 2X 2X 0 2X 2X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2X 2X 0 2X 2X 2X 0 0 2X 0 2X 2X 0 0 2X 2X 0 2X 2X 0 0 2X 0 2X 2X 2X 0 2X 2X 0 0 2X 2X 2X 2X 2X 0 0 2X 0 0 0 2X 2X 0 2X 2X 0 2X 2X 2X 0 0 0 2X 0 0 0 0 0 0 2X 0 2X 2X 2X 0 0 0 0 2X 2X 2X 2X 0 0 0 0 0 0 0 0 0 0 0 2X 2X 0 2X 2X 0 0 2X 0 2X 2X 2X 0 0 2X 0 2X 2X 0 2X 0 2X 0 2X 0 2X 2X 0 2X 2X 2X 2X 0 0 2X 0 2X 2X 0 0 2X 0 2X 0 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 0 0 0 0 0 0 0 0 2X 2X 0 2X 2X 0 2X 2X 2X 0 0 2X 0 0 0 0 0 0 0 0 0 0 2X 2X 0 0 0 2X 2X 0 2X 2X 0 0 2X 2X 2X 0 0 2X 2X 2X 0 2X 0 2X 2X 0 0 2X 2X 2X 0 2X 0 2X 0 2X 0 0 2X 2X 2X 0 2X 2X 2X 0 0 0 2X 0 2X 0 2X 2X 0 2X 0 generates a code of length 86 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 80. Homogenous weight enumerator: w(x)=1x^0+112x^80+48x^82+256x^85+1184x^86+256x^87+94x^88+48x^90+46x^96+2x^104+1x^160 The gray image is a code over GF(2) with n=688, k=11 and d=320. This code was found by Heurico 1.16 in 8.14 seconds.