The generator matrix 1 0 1 1 1 6 1 1 0 1 1 6 1 1 1 1 2 1 1 1 1 0 1 3 6 1 1 0 3 1 6 1 1 0 6 3 5 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 4 4 0 4 0 4 4 4 4 0 0 0 4 0 0 0 0 0 0 0 0 4 0 0 0 4 4 4 0 4 0 0 0 0 4 0 0 0 0 0 0 0 4 4 0 4 4 0 0 0 4 0 0 0 0 0 4 0 0 0 0 0 0 4 4 4 4 0 0 4 0 0 0 0 0 0 0 0 4 0 0 0 0 4 0 4 4 4 0 4 0 0 0 0 0 0 0 0 0 0 4 0 0 0 4 0 0 0 4 0 4 4 4 0 0 0 0 0 0 0 0 0 4 0 0 4 0 0 0 0 4 0 4 4 4 0 0 0 0 0 0 0 0 0 4 0 4 0 4 0 0 4 4 0 4 0 0 0 0 0 0 0 0 0 0 0 4 0 4 4 4 0 4 0 0 4 0 generates a code of length 21 over Z8 who´s minimum homogenous weight is 12. Homogenous weight enumerator: w(x)=1x^0+146x^12+16x^13+60x^14+128x^15+794x^16+704x^17+1856x^18+3968x^19+5502x^20+6752x^21+4824x^22+3968x^23+2456x^24+704x^25+416x^26+128x^27+270x^28+16x^29+12x^30+45x^32+2x^36 The gray image is a code over GF(2) with n=84, k=15 and d=24. This code was found by Heurico 1.16 in 4.02 seconds.