The generator matrix 1 0 1 1 1 0 1 1 0 1 1 6 6 1 0 1 2 2 1 4 1 1 1 2 0 2 1 0 1 1 0 3 1 0 3 1 2 7 1 1 6 1 2 1 6 2 2 3 3 1 1 1 0 0 0 0 2 0 2 0 2 0 6 2 0 2 4 6 6 0 2 2 6 4 0 2 2 0 4 2 0 0 0 0 2 2 6 2 0 0 0 2 2 4 6 2 2 0 6 0 6 4 6 0 2 0 2 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 4 4 4 0 4 4 4 4 0 4 0 4 4 0 0 0 0 0 4 0 0 0 4 0 4 4 4 4 4 4 4 0 0 4 4 4 0 0 4 4 0 0 0 0 0 0 4 0 0 0 0 0 0 4 0 4 4 4 4 4 0 4 4 0 4 0 0 0 0 0 0 0 0 0 4 0 0 0 4 4 0 4 0 0 4 4 0 0 4 4 0 4 4 4 0 0 0 0 0 0 0 0 4 4 4 0 0 4 4 4 4 0 0 0 0 4 0 4 0 4 0 generates a code of length 27 over Z8 who´s minimum homogenous weight is 18. Homogenous weight enumerator: w(x)=1x^0+55x^18+88x^19+216x^20+508x^21+705x^22+1524x^23+2451x^24+3616x^25+4771x^26+4848x^27+4752x^28+3672x^29+2474x^30+1640x^31+705x^32+384x^33+173x^34+88x^35+64x^36+12x^37+13x^38+4x^39+3x^40+1x^42 The gray image is a code over GF(2) with n=108, k=15 and d=36. This code was found by Heurico 1.16 in 9.84 seconds.