The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 18 1 1 0 0 3 0 0 24 21 15 3 24 9 3 21 6 21 18 18 24 24 21 15 3 9 15 9 0 3 24 9 15 21 18 15 21 9 12 6 0 24 3 9 9 3 0 0 3 24 9 6 21 3 6 18 3 18 12 15 3 24 24 18 6 18 0 6 21 0 21 12 24 21 3 0 0 9 9 15 12 15 21 6 21 3 9 18 0 0 0 9 0 0 18 9 18 18 18 9 9 9 18 18 0 18 18 9 18 0 0 9 9 0 9 0 9 0 0 0 0 9 9 0 18 18 0 18 18 18 generates a code of length 42 over Z27 who´s minimum homogenous weight is 78. Homogenous weight enumerator: w(x)=1x^0+442x^78+108x^80+536x^81+810x^82+432x^83+1452x^84+1620x^85+432x^86+292x^87+226x^90+150x^93+58x^96+2x^117 The gray image is a code over GF(3) with n=378, k=8 and d=234. This code was found by Heurico 1.16 in 0.93 seconds.