The generator matrix 1 0 0 1 1 1 1 1 1 1 21 15 1 1 1 1 0 1 1 1 1 18 24 1 3 1 1 3 1 3 9 1 1 1 9 1 3 6 1 1 1 0 1 1 0 1 0 0 9 16 16 1 2 23 1 1 23 18 10 8 1 21 5 20 12 1 1 25 12 5 0 1 13 1 21 24 18 22 1 13 21 1 24 25 8 1 5 12 0 0 1 1 17 17 15 1 23 3 17 19 4 15 16 2 19 26 4 3 25 9 17 9 1 14 7 20 26 18 1 18 2 19 16 3 1 4 17 25 13 6 1 24 0 0 0 24 18 9 0 6 3 12 9 9 0 15 21 18 12 21 6 15 0 6 6 3 12 24 12 3 6 21 6 12 3 18 24 24 6 12 6 15 15 12 12 6 generates a code of length 44 over Z27 who´s minimum homogenous weight is 79. Homogenous weight enumerator: w(x)=1x^0+810x^79+1344x^80+1988x^81+5502x^82+5382x^83+8062x^84+15648x^85+13560x^86+18706x^87+27354x^88+19170x^89+19330x^90+21366x^91+8622x^92+4952x^93+3420x^94+1308x^95+140x^96+168x^97+150x^98+38x^99+78x^100+36x^101+12x^103 The gray image is a code over GF(3) with n=396, k=11 and d=237. This code was found by Heurico 1.16 in 52.3 seconds.