The generator matrix 1 0 1 1 1 0 1 1 a 0 0 0 3a+6 0 3 0 0 0 3 3a+6 generates a code of length 5 over GR(81,9) who´s minimum homogenous weight is 18. Homogenous weight enumerator: w(x)=1x^0+80x^18+648x^24+560x^27+17496x^32+10368x^33+2280x^36+314928x^40+139968x^41+41472x^42+3640x^45 The gray image is a code over GF(9) with n=45, k=6 and d=18. This code was found by Heurico 1.16 in 0.535 seconds.