The generator matrix 1 0 1 1 1 1 1 1 1 1 0 1 1 26 25 18 21 17 26 0 0 0 24 0 3 21 15 21 24 0 0 0 0 9 0 18 18 18 18 0 0 0 0 0 9 18 0 9 9 9 generates a code of length 10 over Z27 who´s minimum homogenous weight is 12. Homogenous weight enumerator: w(x)=1x^0+44x^12+216x^14+342x^15+648x^16+1296x^17+8370x^18+2592x^19+24462x^20+16100x^21+2592x^22+1728x^23+630x^24+26x^27+2x^30 The gray image is a code over GF(3) with n=90, k=10 and d=36. This code was found by Heurico 1.16 in 0.454 seconds.