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 0 3 24 0 21 24 6 9 21 21 0 24 21 0 24 6 18 12 21 0 15 12 9 6 12 6 9 21 21 0 9 9 3 0 24 24 9 9 6 6 15 6 15 24 12 3 12 0 0 0 9 0 0 0 18 0 18 9 0 9 9 9 0 9 9 0 18 18 9 0 9 18 0 9 9 9 18 18 0 9 0 18 0 9 0 9 9 0 18 18 0 9 9 0 18 0 0 0 0 9 0 9 18 18 18 9 0 18 0 18 18 18 0 18 0 0 9 9 18 9 9 9 9 18 9 18 9 9 0 0 0 18 18 0 9 18 0 0 0 0 9 9 0 18 0 0 0 0 18 18 9 0 18 9 18 18 0 0 18 0 9 0 18 18 18 0 9 9 18 0 9 9 9 18 9 0 9 9 9 9 9 0 9 9 18 0 18 18 18 18 0 18 generates a code of length 48 over Z27 who´s minimum homogenous weight is 87. Homogenous weight enumerator: w(x)=1x^0+48x^87+42x^88+84x^89+148x^90+144x^91+132x^92+138x^93+54x^94+84x^95+4972x^96+96x^97+54x^98+110x^99+54x^100+42x^101+74x^102+54x^103+42x^104+72x^105+24x^106+42x^107+18x^108+18x^109+6x^110+4x^111+2x^114+2x^144 The gray image is a code over GF(3) with n=432, k=8 and d=261. This code was found by Heurico 1.16 in 0.219 seconds.