The generator matrix 1 0 0 1 1 1 1 1 0 1 1 1 1 6 1 1 1 6 1 3 6 1 1 6 1 1 1 0 1 0 1 0 8 1 8 1 0 5 7 1 1 7 8 0 1 5 1 1 5 2 1 3 7 0 0 0 1 8 1 8 1 0 8 8 7 6 1 7 5 8 2 4 0 6 0 7 5 5 8 5 0 0 0 0 6 0 0 0 0 0 3 6 3 6 6 6 6 3 0 3 0 6 3 6 6 3 3 0 0 0 0 0 6 0 3 3 3 6 6 6 6 0 6 0 3 6 0 3 0 3 0 6 6 6 3 0 0 0 0 0 3 3 0 6 3 3 3 0 6 3 6 0 6 0 0 3 3 0 3 6 0 6 generates a code of length 27 over Z9 who´s minimum homogenous weight is 42. Homogenous weight enumerator: w(x)=1x^0+70x^42+18x^43+156x^44+324x^45+204x^46+720x^47+822x^48+528x^49+1386x^50+1154x^51+1158x^52+2280x^53+1630x^54+1254x^55+2520x^56+1460x^57+984x^58+1368x^59+800x^60+228x^61+318x^62+230x^63+38x^66+28x^69+2x^72+2x^75 The gray image is a code over GF(3) with n=81, k=9 and d=42. This code was found by Heurico 1.16 in 1.71 seconds.