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 X 1 1 X 1 X 1 1 1 X 1 1 1 1 1 1 1 1 X X 1 0 X 0 0 0 0 0 0 0 0 X 2X 2X X X X 0 2X X 2X X 0 X 0 2X X 0 2X X 2X 2X 2X X X X 0 2X 2X 0 X 0 0 X 0 2X 0 X 2X 2X X X 2X X 2X 2X 0 X X 0 2X 2X X X 2X X 0 2X 0 0 2X X X 2X 0 2X 0 2X 2X X 2X X X X 2X 0 0 X 0 2X 0 X 0 2X 0 X 0 0 0 X 0 0 0 0 X 2X 2X 2X 0 0 2X X 2X X 0 X X 0 2X 2X 0 X X 2X 0 X 0 2X 2X 2X X 2X 0 2X 2X X 2X 2X 0 X X 2X X 0 X 0 2X X 2X X 0 0 0 2X X 2X X 0 2X 2X 0 0 X 2X 0 2X X X 2X 2X 2X 0 X X 2X 2X X 2X 0 0 2X 0 2X 0 X 2X X 0 X X X X X 0 0 0 X 0 0 X 2X 0 2X 0 0 2X X X 2X 0 X 0 2X 0 2X 2X 0 2X 0 X 2X 2X X X X 2X 0 0 2X 2X X 2X 2X X X 2X X 2X X 2X 0 X 0 0 0 2X X X 2X X 2X X 0 2X 2X 2X 0 0 X 2X 0 0 2X X 0 0 0 2X 2X X 0 X X 0 X X 2X 0 0 2X X 2X X 2X 2X 2X 2X 0 0 0 0 0 0 X 0 2X 2X X 0 2X 2X 2X 0 2X 2X 0 2X X 0 2X 2X 0 X 2X 0 2X X 0 X 0 X 0 2X 0 2X 0 2X X X 0 2X 2X 2X 2X 0 0 X X 2X 0 X X 2X X X X 0 X 2X 0 2X X 0 X 0 2X 2X 0 X 0 X 0 0 2X 0 2X 0 2X 2X X 0 2X 0 X 2X 2X 0 X 2X 2X 0 2X 2X 0 0 0 0 0 0 0 X 2X 2X 2X 2X 2X 2X X 2X X X 2X X 2X 2X 2X 2X 0 2X 0 X 0 0 2X X 2X 0 2X X 0 X X 0 X X 0 X 2X X 2X 2X X X 0 0 0 0 0 0 2X 2X 2X 0 0 0 X 0 2X X 2X X X 2X 2X 0 X 0 X 0 0 X 0 2X X 2X 2X 2X 2X 2X X 0 2X 0 2X 0 X 2X 2X 0 X 0 generates a code of length 96 over Z3[X]/(X^2) who´s minimum homogenous weight is 180. Homogenous weight enumerator: w(x)=1x^0+208x^180+18x^183+126x^186+612x^189+468x^192+360x^195+256x^198+80x^207+42x^216+14x^225+2x^270 The gray image is a linear code over GF(3) with n=288, k=7 and d=180. This code was found by Heurico 1.16 in 25.4 seconds.