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 0 3 24 0 21 24 21 6 0 9 0 9 21 24 9 21 6 24 3 12 15 9 3 6 0 0 9 0 9 0 18 18 9 18 9 18 18 0 9 9 9 18 18 0 0 0 9 18 0 0 0 9 18 9 9 18 18 18 0 9 18 0 9 0 9 9 0 18 18 18 9 0 generates a code of length 24 over Z27 who´s minimum homogenous weight is 44. Homogenous weight enumerator: w(x)=1x^0+180x^44+16x^45+144x^47+1674x^48+144x^53+8x^54+18x^56+2x^72 The gray image is a code over GF(3) with n=216, k=7 and d=132. This code was found by Heurico 1.16 in 20.4 seconds.