The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 3 0 3 1 1 9 18 0 3 0 0 18 3 21 3 18 21 15 0 15 3 18 15 18 3 3 0 0 3 0 21 24 24 9 15 21 18 24 3 18 9 6 12 21 9 0 0 0 3 15 12 15 21 18 21 21 24 0 9 15 18 21 21 3 generates a code of length 19 over Z27 who´s minimum homogenous weight is 31. Homogenous weight enumerator: w(x)=1x^0+216x^31+432x^32+220x^33+1044x^34+1140x^35+1590x^36+2706x^37+3924x^38+3002x^39+2790x^40+1584x^41+246x^42+486x^43+210x^44+38x^45+48x^46+4x^48+2x^51 The gray image is a code over GF(3) with n=171, k=9 and d=93. This code was found by Heurico 1.16 in 54.2 seconds.