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 3 1 1 1 1 1 3 1 1 1 1 3 1 3 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 3 1 1 3 9 3 1 3 1 1 0 9 0 0 0 0 0 0 0 0 9 18 18 9 9 9 0 18 9 18 9 0 9 0 18 9 0 18 9 18 18 18 9 9 9 0 18 18 0 9 0 0 9 18 18 9 18 18 9 0 0 18 18 0 9 18 0 9 0 18 9 9 0 9 18 18 18 18 0 9 0 0 9 18 0 18 9 0 9 18 0 0 9 18 0 0 9 18 0 0 0 0 9 0 0 0 0 9 18 18 18 0 0 18 9 18 9 0 9 9 0 18 18 0 9 9 18 0 9 0 18 18 18 9 18 0 18 18 9 18 18 0 9 0 18 18 0 9 0 9 9 0 0 0 9 18 9 18 0 18 18 0 9 18 0 18 0 9 0 18 0 18 18 18 18 18 0 0 18 0 9 9 0 18 9 18 0 0 9 9 0 0 0 9 0 0 9 18 0 18 0 0 18 9 9 18 0 9 0 18 0 18 18 0 18 0 9 18 18 9 9 9 18 0 0 18 18 9 18 18 9 9 18 0 18 9 18 0 18 0 18 9 18 0 18 18 9 9 9 18 18 9 9 18 0 9 9 0 18 9 0 9 0 0 0 18 0 18 18 9 9 18 9 0 9 0 0 0 0 9 0 0 0 0 9 0 18 18 9 0 18 18 18 0 18 18 0 18 9 0 18 18 0 9 18 0 18 9 0 9 0 9 0 18 0 18 0 18 9 9 0 18 18 9 18 18 0 9 0 18 18 9 18 0 0 9 18 9 0 0 18 18 9 18 18 18 0 0 9 18 18 0 9 18 18 9 0 0 9 0 0 9 18 18 0 9 9 18 18 18 0 0 0 0 0 9 18 18 18 18 18 18 9 18 9 9 18 9 18 18 18 18 0 18 0 9 0 0 18 9 18 0 18 9 0 9 9 0 9 9 0 9 18 0 18 9 9 9 9 0 9 18 0 18 9 18 18 9 9 18 0 18 9 9 9 9 9 9 18 18 18 18 0 9 18 9 9 18 0 18 9 0 18 18 18 18 9 18 9 0 generates a code of length 90 over Z27 who´s minimum homogenous weight is 168. Homogenous weight enumerator: w(x)=1x^0+122x^168+12x^169+112x^171+144x^172+180x^175+204x^177+1686x^178+58x^180+3384x^181+306x^184+92x^186+84x^187+42x^189+36x^190+28x^195+12x^198+30x^204+8x^207+8x^213+8x^216+2x^225+2x^240 The gray image is a code over GF(3) with n=810, k=8 and d=504. This code was found by Heurico 1.16 in 0.952 seconds.