The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 0 3 24 0 21 24 21 0 6 9 0 9 21 12 9 24 15 9 21 12 0 0 0 9 0 9 0 18 9 18 18 9 18 18 0 9 0 18 0 18 18 0 0 0 0 9 18 9 9 18 18 18 0 9 18 18 9 18 9 18 9 0 0 generates a code of length 21 over Z27 who´s minimum homogenous weight is 36. Homogenous weight enumerator: w(x)=1x^0+52x^36+48x^38+126x^39+216x^40+36x^41+1052x^42+432x^43+54x^44+64x^45+24x^47+72x^48+8x^51+2x^60 The gray image is a code over GF(3) with n=189, k=7 and d=108. This code was found by Heurico 1.16 in 0.00992 seconds.