The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 3 1 3 1 1 0 3 0 21 0 24 3 15 24 0 18 9 21 12 24 21 9 9 15 15 0 0 0 3 6 24 0 3 21 24 9 12 15 9 3 6 18 3 12 3 3 0 0 0 0 9 0 0 18 9 18 9 9 9 0 0 18 9 18 9 18 9 9 0 0 0 0 9 18 9 9 9 18 18 9 0 9 18 0 0 0 18 0 9 generates a code of length 21 over Z27 who´s minimum homogenous weight is 33. Homogenous weight enumerator: w(x)=1x^0+40x^33+54x^34+126x^35+434x^36+246x^37+744x^38+696x^39+1770x^40+2316x^41+5560x^42+3366x^43+2394x^44+932x^45+312x^46+210x^47+324x^48+84x^49+42x^50+16x^51+10x^54+6x^57 The gray image is a code over GF(3) with n=189, k=9 and d=99. This code was found by Heurico 1.16 in 0.489 seconds.