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 1 3 1 1 18 1 1 1 1 0 1 0 1 1 1 1 1 1 0 3 0 0 24 21 3 15 24 21 18 0 21 15 18 12 24 15 6 21 0 24 24 3 12 18 15 9 15 0 12 18 12 3 9 24 3 6 24 18 3 24 3 6 3 0 24 3 6 24 9 9 18 6 9 18 24 15 12 0 0 21 3 9 21 6 12 18 15 12 15 15 3 0 21 0 0 15 24 6 3 21 21 3 12 3 6 3 24 15 3 9 12 9 0 0 3 24 0 15 3 21 6 6 21 0 3 21 24 9 18 6 3 9 6 0 6 3 24 0 9 3 12 0 6 21 21 9 15 15 21 21 9 12 9 6 24 15 6 24 0 18 0 12 3 9 3 21 0 15 6 21 0 18 0 18 3 18 3 9 24 24 24 9 6 21 9 9 21 12 3 3 3 0 21 6 24 6 18 15 24 3 15 15 12 6 15 9 0 0 0 9 0 0 0 18 0 9 18 9 18 9 0 9 0 18 0 18 18 18 9 9 18 18 9 9 0 0 18 0 18 9 18 18 0 0 9 9 18 9 9 18 18 9 18 0 18 18 0 18 18 9 0 0 0 18 18 9 9 0 0 18 18 0 0 9 9 9 0 9 0 18 18 0 18 9 18 0 9 0 0 18 9 18 18 9 0 18 9 18 18 9 0 0 0 0 9 18 9 0 18 0 18 9 0 0 0 0 0 0 0 0 0 0 9 9 0 9 18 9 18 9 9 18 18 9 9 18 18 9 9 0 9 0 18 9 18 18 9 18 18 18 9 18 0 9 18 18 9 9 18 0 18 9 0 0 9 0 0 9 18 18 0 18 18 9 9 9 9 0 18 9 9 9 18 9 18 18 0 9 0 9 18 0 9 0 generates a code of length 94 over Z27 who´s minimum homogenous weight is 177. Homogenous weight enumerator: w(x)=1x^0+442x^177+1034x^180+1054x^183+486x^184+648x^185+2812x^186+4536x^188+4818x^189+972x^190+648x^191+772x^192+460x^195+420x^198+286x^201+192x^204+88x^207+12x^210+2x^270 The gray image is a code over GF(3) with n=846, k=9 and d=531. This code was found by Heurico 1.16 in 3.84 seconds.