The generator matrix 1 0 1 1 1 1 1 18 1 21 1 1 1 1 21 1 0 24 15 1 9 3 1 1 0 1 1 26 21 20 16 1 26 1 25 18 22 23 1 23 1 1 1 19 1 24 0 0 0 0 24 0 18 18 15 3 6 18 12 21 12 6 15 18 6 15 12 24 18 15 6 0 0 0 0 9 9 0 18 9 18 18 18 0 0 9 18 18 0 9 0 9 9 0 18 9 generates a code of length 24 over Z27 who´s minimum homogenous weight is 42. Homogenous weight enumerator: w(x)=1x^0+390x^42+234x^43+1062x^44+1350x^45+1404x^46+3780x^47+3034x^48+2322x^49+3834x^50+1480x^51+414x^52+72x^53+258x^54+44x^57+2x^60+2x^63 The gray image is a code over GF(3) with n=216, k=9 and d=126. This code was found by Heurico 1.16 in 0.343 seconds.