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 X^2 1 1 1 1 X^2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 0 X^2+2 0 X^2+2 0 X^2+2 0 X^2+2 0 X^2+2 X^2+2 0 X^2+2 0 0 X^2+2 0 X^2+2 0 X^2+2 0 X^2 X^2 2 2 X^2+2 2 X^2 0 X^2+2 2 X^2 0 X^2+2 2 X^2 0 X^2+2 2 X^2 0 X^2+2 2 X^2 2 0 X^2+2 X^2 X^2+2 X^2 2 0 2 X^2 0 X^2+2 0 2 X^2+2 X^2 2 0 2 X^2+2 X^2 2 0 0 2 2 X^2+2 X^2 X^2+2 X^2 0 X^2+2 2 X^2 X^2 2 2 2 X^2+2 X^2 X^2 0 0 2 0 0 0 0 0 0 0 0 2 0 2 2 0 0 0 0 0 0 0 0 0 2 0 2 0 2 0 2 0 0 2 2 2 2 2 0 2 0 2 2 2 0 2 2 2 2 2 2 0 0 2 2 2 0 2 2 2 0 0 2 2 2 0 0 2 2 0 0 2 2 0 0 2 0 2 0 0 2 0 2 0 0 0 0 0 2 0 0 0 2 0 0 0 0 2 0 0 2 0 0 0 0 0 0 0 0 0 2 0 2 0 2 0 2 2 2 2 0 2 2 2 0 2 2 2 0 2 2 2 2 2 2 2 2 2 0 2 2 2 2 0 0 0 2 2 0 0 0 0 2 0 2 2 2 2 2 2 0 0 2 0 2 0 2 2 0 2 0 0 0 0 2 0 0 0 2 0 0 0 0 2 2 0 0 2 0 2 2 2 2 2 0 2 0 2 2 2 2 2 2 0 2 0 2 0 2 0 2 0 0 0 0 2 2 2 2 2 0 2 0 0 2 0 0 0 2 2 0 0 0 2 2 0 2 2 2 2 2 2 2 2 0 0 0 0 0 0 2 2 2 2 0 0 0 0 0 0 2 0 2 0 0 2 0 2 0 0 0 2 2 2 2 2 0 0 2 2 0 2 0 2 2 2 2 0 0 0 0 0 2 0 2 2 0 2 0 2 2 2 0 0 2 2 2 2 2 2 2 0 0 0 2 0 0 0 0 2 0 2 0 2 0 0 2 0 2 2 0 0 0 2 0 0 2 0 2 0 0 0 0 0 0 0 2 0 2 2 2 2 2 0 2 2 2 0 0 2 0 0 2 2 2 0 0 2 2 2 0 0 0 0 2 0 0 0 2 0 2 2 0 2 2 2 0 2 0 2 2 0 0 2 0 2 2 2 0 0 0 0 0 2 2 2 2 2 2 0 2 0 2 2 0 2 0 2 0 2 2 2 0 0 0 generates a code of length 85 over Z4[X]/(X^3+2,2X) 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 5.8 seconds.