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 3 1 3 1 1 1 3 3 1 1 1 3 3 1 1 1 1 3 3 3 1 1 3 3 3 3 9 9 0 1 3 3 3 1 3 1 1 1 1 9 3 1 1 1 0 9 18 0 9 18 0 9 18 0 9 18 0 9 18 0 9 18 0 9 18 0 9 18 0 9 18 0 9 18 0 9 18 0 9 18 0 9 18 0 9 18 0 9 9 18 18 0 9 18 9 18 0 9 18 9 18 0 9 18 0 9 18 0 9 18 0 9 18 0 9 18 9 0 0 9 18 9 0 18 0 9 18 0 0 0 9 18 generates a code of length 88 over Z27 who´s minimum homogenous weight is 177. Homogenous weight enumerator: w(x)=1x^0+72x^177+6x^186+2x^198 The gray image is a code over GF(3) with n=792, k=4 and d=531. This code was found by Heurico 1.16 in 0.282 seconds.