The generator matrix 1 0 1 1 1 1 1 21 1 1 1 1 1 1 0 1 7 26 4 21 20 1 24 19 23 0 16 9 0 0 9 0 18 18 9 9 0 18 0 18 0 18 generates a code of length 14 over Z27 who´s minimum homogenous weight is 24. Homogenous weight enumerator: w(x)=1x^0+44x^24+48x^25+516x^26+120x^27+282x^28+984x^29+118x^30+48x^31+12x^32+10x^33+2x^36+2x^39 The gray image is a code over GF(3) with n=126, k=7 and d=72. This code was found by Heurico 1.16 in 0.00304 seconds.