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 3 1 1 1 1 1 1 1 1 1 3 1 1 1 1 3 3 1 1 0 9 0 0 0 0 0 0 0 0 0 0 0 0 9 18 18 9 18 18 18 9 9 18 9 18 0 18 9 18 9 0 9 18 18 0 0 18 0 18 9 9 18 0 9 0 9 18 0 18 18 18 0 18 0 9 18 0 0 0 9 18 9 18 9 18 0 9 9 18 18 0 0 0 9 9 0 0 0 9 0 0 0 0 0 0 0 0 9 18 18 18 18 0 9 0 9 9 18 9 18 0 9 18 0 18 0 9 9 0 18 18 9 18 9 18 9 9 9 0 18 9 18 18 18 18 0 0 18 18 0 0 0 9 18 0 0 0 18 18 18 18 0 0 18 0 0 18 18 9 0 9 18 0 0 0 0 9 0 0 0 0 9 18 18 18 0 0 9 0 9 18 9 18 18 18 18 0 0 0 18 18 0 9 9 9 9 18 9 18 9 9 18 9 0 18 18 18 18 18 18 9 9 18 0 0 0 0 0 18 9 18 9 9 18 18 9 18 0 0 9 9 9 0 18 0 0 9 0 9 0 0 0 0 0 9 0 0 9 18 0 18 0 0 18 18 9 9 9 18 9 0 18 9 18 9 0 9 18 0 9 0 0 0 18 9 18 9 9 9 18 9 18 9 18 9 18 9 9 0 9 0 9 18 0 18 9 18 18 0 9 18 0 9 9 9 9 18 18 0 0 0 0 18 0 9 18 0 0 0 0 0 0 9 0 18 18 9 0 18 18 18 18 18 18 0 9 0 0 18 18 0 18 9 18 0 0 9 18 9 18 9 18 18 18 18 18 0 9 0 0 0 0 9 0 9 0 0 0 0 0 9 18 9 18 18 0 18 18 9 18 0 18 0 9 9 9 9 18 9 18 0 18 9 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 9 0 9 0 0 18 9 0 9 0 18 0 18 0 9 9 0 0 18 18 0 0 18 9 0 18 9 18 9 18 18 9 18 9 0 0 0 9 18 18 0 0 0 9 9 0 0 9 9 18 generates a code of length 77 over Z27 who´s minimum homogenous weight is 135. Homogenous weight enumerator: w(x)=1x^0+60x^135+136x^138+202x^141+250x^144+54x^146+184x^147+432x^149+200x^150+1296x^152+196x^153+13122x^154+1728x^155+180x^156+864x^158+140x^159+140x^162+128x^165+88x^168+100x^171+64x^174+60x^177+34x^180+8x^183+12x^186+2x^189+2x^219 The gray image is a code over GF(3) with n=693, k=9 and d=405. This code was found by Heurico 1.16 in 4.18 seconds.