The generator matrix 1 0 0 1 1 1 1 1 24 1 21 1 1 1 1 0 1 1 1 12 0 1 1 6 1 0 1 0 1 15 17 1 17 1 23 1 19 18 4 21 1 16 2 0 3 1 21 21 1 7 0 0 1 26 16 20 1 21 4 25 14 18 14 23 18 19 21 0 22 1 12 22 20 15 21 0 0 0 24 15 24 9 0 6 12 6 18 3 9 15 12 21 21 18 24 24 3 0 3 12 generates a code of length 25 over Z27 who´s minimum homogenous weight is 42. Homogenous weight enumerator: w(x)=1x^0+400x^42+930x^43+2100x^44+3524x^45+7758x^46+9804x^47+18988x^48+22968x^49+30852x^50+33946x^51+23586x^52+13272x^53+5892x^54+2466x^55+312x^56+176x^57+126x^58+36x^59+10x^60 The gray image is a code over GF(3) with n=225, k=11 and d=126. This code was found by Heurico 1.16 in 20.3 seconds.