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 3 1 3 1 1 1 1 1 3 3 1 3 1 3 1 1 1 3 1 1 1 1 1 3 1 1 1 1 1 1 1 0 9 0 0 0 0 0 0 0 0 0 0 0 0 9 18 18 9 18 18 18 9 18 9 9 9 0 9 9 9 9 0 9 18 9 18 0 9 18 0 0 18 18 18 18 9 9 0 0 9 9 9 9 9 18 18 0 0 9 0 0 9 9 9 18 9 0 0 18 18 0 18 18 9 0 18 9 0 9 18 18 0 9 9 9 18 9 9 9 18 18 9 9 9 0 0 0 0 9 0 0 0 0 0 0 0 0 9 18 18 18 18 0 9 0 9 9 18 18 0 0 9 9 9 0 9 18 9 0 0 9 18 18 0 0 9 9 18 9 9 9 9 0 18 0 0 9 0 0 9 18 9 9 0 9 9 18 18 0 18 18 0 0 9 9 9 9 0 9 9 0 9 0 9 9 0 18 18 0 18 18 0 9 18 0 18 9 0 9 9 0 0 0 0 0 9 0 0 0 0 9 18 18 18 0 0 9 0 9 18 9 18 18 18 0 0 9 18 0 0 0 9 9 18 0 9 0 18 18 0 9 9 0 9 9 0 9 0 0 18 9 0 9 18 9 9 18 9 18 9 0 9 0 18 9 0 9 18 9 0 0 18 9 0 0 18 9 9 18 9 18 0 18 9 9 9 9 0 0 18 0 0 18 18 0 18 0 0 0 0 0 0 9 0 0 9 18 0 18 0 0 18 18 9 9 9 18 9 0 18 18 0 18 9 18 18 9 9 0 18 9 9 9 0 9 0 0 0 0 9 0 9 18 0 9 18 9 9 18 18 0 9 0 0 0 18 0 0 18 9 18 9 0 0 18 9 18 0 9 0 9 18 9 0 9 18 9 9 9 18 18 9 0 9 0 18 18 9 9 18 18 9 9 0 0 0 0 0 0 9 0 18 18 9 0 18 18 18 18 18 18 0 9 0 0 18 0 9 18 9 18 18 18 18 9 9 9 18 0 18 0 18 18 0 0 9 0 0 9 0 0 0 9 9 18 0 0 0 9 18 9 9 18 9 18 0 0 18 0 18 18 0 9 0 18 9 9 9 0 0 0 18 18 18 18 0 9 9 9 9 9 18 9 9 18 9 9 18 18 0 0 0 0 0 0 0 9 18 18 18 18 18 18 9 9 9 0 18 0 0 9 0 18 18 18 0 9 18 18 0 0 9 0 9 18 18 0 18 0 9 18 9 9 18 0 0 0 0 18 18 9 9 0 0 9 18 18 9 9 18 0 18 18 0 9 18 0 9 18 0 9 18 9 0 0 18 18 0 0 0 18 9 9 0 18 9 9 9 9 0 9 0 18 9 0 0 generates a code of length 96 over Z27 who´s minimum homogenous weight is 171. Homogenous weight enumerator: w(x)=1x^0+22x^171+122x^174+178x^177+6x^179+230x^180+66x^182+224x^183+306x^185+194x^186+780x^188+188x^189+1200x^191+13272x^192+1152x^194+150x^195+672x^197+132x^198+192x^200+96x^201+128x^204+90x^207+64x^210+76x^213+34x^216+32x^219+24x^222+30x^225+12x^228+6x^231+2x^234+2x^264 The gray image is a code over GF(3) with n=864, k=9 and d=513. This code was found by Heurico 1.16 in 5.53 seconds.