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 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 3 0 3 24 0 21 24 9 6 21 21 24 0 9 21 24 6 0 9 12 21 24 6 15 12 6 21 12 9 12 18 12 21 12 21 12 12 3 24 24 6 24 6 6 15 21 0 0 0 9 9 18 9 0 18 0 6 18 15 24 15 18 12 6 0 0 12 24 6 18 9 6 24 15 21 3 12 21 21 0 0 9 0 0 0 0 18 18 9 9 9 18 9 0 9 9 18 0 9 18 9 0 9 18 18 0 9 18 18 18 18 18 9 0 0 9 0 0 9 9 9 0 0 18 0 18 9 18 18 18 9 9 18 9 18 0 18 0 9 9 18 9 0 0 9 18 18 0 9 18 18 0 9 0 0 0 0 0 0 0 9 0 0 18 0 0 0 0 0 9 18 18 9 18 18 9 18 18 18 9 9 9 9 18 9 18 0 9 18 0 0 9 18 9 0 18 18 18 0 18 0 18 0 18 0 18 0 9 0 18 9 9 9 0 18 9 9 0 9 9 18 18 9 0 9 9 9 0 18 9 9 18 18 18 9 0 0 0 0 18 18 0 9 18 9 18 9 18 0 18 0 9 18 0 9 9 0 18 9 9 18 0 9 18 18 9 9 9 0 18 18 0 0 9 9 18 9 0 9 0 9 9 0 0 0 9 18 0 0 0 18 18 18 9 18 18 0 9 9 18 18 18 0 18 18 0 0 0 0 9 9 9 0 generates a code of length 78 over Z27 who´s minimum homogenous weight is 148. Homogenous weight enumerator: w(x)=1x^0+258x^148+80x^150+420x^151+162x^152+160x^153+126x^154+648x^155+3132x^156+156x^157+648x^158+236x^159+180x^160+24x^162+102x^163+60x^166+8x^168+102x^169+2x^171+42x^172+12x^175+2x^225 The gray image is a code over GF(3) with n=702, k=8 and d=444. This code was found by Heurico 1.16 in 39.2 seconds.