The generator matrix 1 0 0 1 1 1 1 1 1 1 1 0 21 1 1 1 1 1 1 1 9 1 1 1 1 1 1 0 1 0 1 15 24 26 25 23 1 26 1 1 16 16 6 14 9 6 10 21 8 9 15 7 21 5 0 0 1 26 16 26 2 24 4 1 24 23 16 20 9 11 6 4 9 25 1 8 15 16 25 5 19 0 0 0 24 15 6 21 3 18 15 9 15 21 0 6 9 24 21 3 9 15 0 6 0 3 6 21 generates a code of length 27 over Z27 who´s minimum homogenous weight is 46. Homogenous weight enumerator: w(x)=1x^0+486x^46+1290x^47+1786x^48+4044x^49+8958x^50+9588x^51+18702x^52+23496x^53+27470x^54+32454x^55+25620x^56+12682x^57+6702x^58+3174x^59+204x^60+270x^61+156x^62+24x^63+36x^64+4x^66 The gray image is a code over GF(3) with n=243, k=11 and d=138. This code was found by Heurico 1.16 in 22.7 seconds.