The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 3 3 1 1 1 0 1 1 1 1 1 3 3 0 3 24 0 21 24 0 21 24 9 21 24 21 21 24 6 15 21 3 0 24 12 15 3 21 18 0 0 9 0 0 0 0 18 9 0 9 18 9 9 0 9 9 18 0 18 18 9 9 18 9 18 0 0 0 9 0 0 0 0 0 9 9 18 9 18 18 18 18 18 9 0 18 18 0 0 9 18 0 0 0 0 18 0 9 18 9 9 0 9 0 9 9 0 9 18 18 18 9 0 18 9 18 18 0 0 0 0 0 9 9 0 18 9 18 9 9 9 18 0 18 0 18 18 0 0 0 18 9 0 generates a code of length 26 over Z27 who´s minimum homogenous weight is 42. Homogenous weight enumerator: w(x)=1x^0+90x^42+168x^43+168x^45+456x^46+830x^48+834x^49+2916x^50+2534x^51+1272x^52+5832x^53+2506x^54+1110x^55+278x^57+462x^58+74x^60+72x^61+50x^63+26x^66+2x^69+2x^72 The gray image is a code over GF(3) with n=234, k=9 and d=126. This code was found by Heurico 1.16 in 1.05 seconds.