The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 0 3 1 1 3 1 18 1 1 0 3 0 0 18 3 21 3 18 21 15 24 9 12 24 18 0 15 18 6 21 24 3 18 15 0 0 3 0 21 24 24 9 15 21 18 9 24 3 18 3 3 15 6 9 18 6 0 12 0 0 0 0 3 15 12 15 21 18 21 21 18 3 0 24 21 18 12 12 24 0 3 12 21 24 generates a code of length 25 over Z27 who´s minimum homogenous weight is 42. Homogenous weight enumerator: w(x)=1x^0+166x^42+240x^43+318x^44+454x^45+1080x^46+774x^47+1844x^48+2724x^49+3492x^50+3258x^51+2604x^52+1086x^53+614x^54+540x^55+162x^56+208x^57+102x^58+14x^60+2x^63 The gray image is a code over GF(3) with n=225, k=9 and d=126. This code was found by Heurico 1.16 in 0.609 seconds.