The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 3 3 3 3 1 1 1 0 3 0 21 0 3 24 15 24 0 18 9 21 24 21 21 3 15 12 0 0 3 6 24 3 0 21 24 9 12 24 18 0 6 6 6 0 9 0 0 0 9 0 18 0 9 18 9 9 9 0 9 0 9 18 18 18 0 0 0 0 9 9 18 9 9 18 18 0 18 0 18 18 0 9 0 generates a code of length 19 over Z27 who´s minimum homogenous weight is 30. Homogenous weight enumerator: w(x)=1x^0+110x^30+96x^31+318x^32+540x^33+414x^34+870x^35+2836x^36+1074x^37+4716x^38+5076x^39+1110x^40+1266x^41+754x^42+198x^43+120x^44+140x^45+24x^46+16x^48+2x^51+2x^54 The gray image is a code over GF(3) with n=171, k=9 and d=90. This code was found by Heurico 1.16 in 0.423 seconds.