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 2X+2 1 1 1 1 2X+2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 0 2 0 2 0 2 0 2 0 2 2 0 2 0 0 2 0 2 0 2 0 2X+2 2X+2 2X 2X 2 2X 2X+2 0 2 2X 2X+2 0 2 2X 2X+2 0 2 2X 2X+2 0 2 2X 2X+2 2X 0 2 2X+2 2 2X+2 2X 0 2X 2X+2 0 2 0 2X 2 2X+2 2X 0 2X 2 2X+2 2X 0 0 2X 2X 2 2X+2 2 2X+2 0 2 2X 2X+2 2X+2 2X 2X 2X 2 2X+2 2X+2 0 0 2X 0 0 0 0 0 0 0 0 2X 0 2X 2X 0 0 0 0 0 0 0 0 0 2X 0 2X 0 2X 0 2X 0 0 2X 2X 2X 2X 2X 0 2X 0 2X 2X 2X 0 2X 2X 2X 2X 2X 2X 0 0 2X 2X 2X 0 2X 2X 2X 0 0 2X 2X 2X 0 0 2X 2X 0 0 2X 2X 0 0 2X 0 2X 0 0 2X 0 2X 0 0 0 0 0 2X 0 0 0 2X 0 0 0 0 2X 0 0 2X 0 0 0 0 0 0 0 0 0 2X 0 2X 0 2X 0 2X 2X 2X 2X 0 2X 2X 2X 0 2X 2X 2X 0 2X 2X 2X 2X 2X 2X 2X 2X 2X 0 2X 2X 2X 2X 0 0 0 2X 2X 0 0 0 0 2X 0 2X 2X 2X 2X 2X 2X 0 0 2X 0 2X 0 2X 2X 0 2X 0 0 0 0 2X 0 0 0 2X 0 0 0 0 2X 2X 0 0 2X 0 2X 2X 2X 2X 2X 0 2X 0 2X 2X 2X 2X 2X 2X 0 2X 0 2X 0 2X 0 2X 0 0 0 0 2X 2X 2X 2X 2X 0 2X 0 0 2X 0 0 0 2X 2X 0 0 0 2X 2X 0 2X 2X 2X 2X 2X 2X 2X 2X 0 0 0 0 0 0 2X 2X 2X 2X 0 0 0 0 0 0 2X 0 2X 0 0 2X 0 2X 0 0 0 2X 2X 2X 2X 2X 0 0 2X 2X 0 2X 0 2X 2X 2X 2X 0 0 0 0 0 2X 0 2X 2X 0 2X 0 2X 2X 2X 0 0 2X 2X 2X 2X 2X 2X 2X 0 0 0 2X 0 0 0 0 2X 0 2X 0 2X 0 0 2X 0 2X 2X 0 0 0 2X 0 0 2X 0 2X 0 0 0 0 0 0 0 2X 0 2X 2X 2X 2X 2X 0 2X 2X 2X 0 0 2X 0 0 2X 2X 2X 0 0 2X 2X 2X 0 0 0 0 2X 0 0 0 2X 0 2X 2X 0 2X 2X 2X 0 2X 0 2X 2X 0 0 2X 0 2X 2X 2X 0 0 0 0 0 2X 2X 2X 2X 2X 2X 0 2X 0 2X 2X 0 2X 0 2X 0 2X 2X 2X 0 0 0 generates a code of length 85 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 80. Homogenous weight enumerator: w(x)=1x^0+97x^80+148x^82+253x^84+1152x^85+124x^86+128x^87+62x^88+12x^90+34x^92+36x^94+1x^164 The gray image is a code over GF(2) with n=680, k=11 and d=320. This code was found by Heurico 1.16 in 5.72 seconds.