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 3 1 1 3 1 1 1 3 1 1 3 1 1 1 18 1 1 3 1 1 1 1 1 0 0 1 1 0 3 0 0 24 21 15 3 24 21 18 0 21 15 18 12 24 15 6 21 15 21 24 12 0 18 18 9 6 21 6 21 12 6 0 18 3 6 15 24 0 12 24 24 18 9 15 21 18 21 3 3 24 24 12 18 21 24 9 12 12 6 18 6 0 9 12 12 24 0 6 18 9 24 12 15 6 15 12 24 12 0 21 18 0 18 3 24 3 24 6 6 18 18 6 3 3 3 0 0 0 3 24 0 15 21 3 6 6 21 0 3 21 24 9 18 6 3 9 0 6 6 12 6 21 0 21 18 24 24 18 12 12 15 12 12 3 24 9 12 0 0 15 15 9 12 6 9 12 6 18 6 18 6 24 3 24 9 21 12 12 24 6 24 21 0 18 21 18 12 6 3 12 24 12 15 15 0 18 24 21 9 9 3 6 3 24 12 0 9 21 3 24 0 0 15 3 9 0 0 0 9 0 0 18 0 0 9 18 9 18 9 0 9 0 18 0 18 0 9 9 0 18 0 18 9 18 9 18 9 9 9 18 18 18 18 0 18 9 9 9 9 0 9 0 18 18 9 0 0 18 18 0 0 18 0 9 9 0 18 18 9 9 18 18 0 0 18 0 9 9 9 18 0 0 0 18 9 0 9 0 9 9 18 18 9 0 0 0 18 0 18 0 9 9 18 9 0 0 0 0 9 18 0 9 18 0 18 9 0 0 0 0 0 0 0 0 18 18 9 0 0 9 18 0 18 9 9 18 18 9 9 9 18 9 9 0 9 9 18 18 9 0 9 18 9 0 0 9 18 9 9 18 9 0 18 9 18 9 18 0 18 0 18 0 9 18 18 9 0 18 18 0 9 18 9 18 18 9 9 9 18 18 18 0 0 9 18 0 9 0 9 9 18 18 9 generates a code of length 99 over Z27 who´s minimum homogenous weight is 186. Homogenous weight enumerator: w(x)=1x^0+104x^186+162x^187+120x^188+578x^189+204x^190+204x^191+916x^192+378x^193+240x^194+2522x^195+1608x^196+252x^197+4292x^198+2676x^199+264x^200+2982x^201+456x^202+174x^203+290x^204+102x^205+84x^206+292x^207+84x^208+30x^209+192x^210+90x^211+54x^212+84x^213+36x^214+12x^215+82x^216+24x^217+24x^218+48x^219+12x^220+6x^222+2x^225+2x^273 The gray image is a code over GF(3) with n=891, k=9 and d=558. This code was found by Heurico 1.16 in 3.82 seconds.