The generator matrix 1 1 1 1 1 1 1 1 2 2 2 0 4 0 1 1 2 2 2 1 1 0 2 0 2 0 0 2 6 0 2 2 2 2 4 0 2 4 6 4 0 0 0 0 2 2 0 6 2 0 2 2 0 4 2 2 6 2 2 0 2 0 0 0 0 0 4 0 0 0 0 0 0 0 4 0 4 4 0 0 0 4 0 4 0 0 0 0 4 0 0 0 0 0 0 0 0 0 4 0 4 4 4 0 4 0 0 0 0 0 4 0 0 0 0 0 4 4 0 0 0 4 4 0 4 0 0 0 0 0 0 0 4 0 0 0 0 4 0 4 4 0 4 4 0 4 4 0 0 0 0 0 0 0 4 0 0 0 0 4 4 4 0 4 0 4 0 0 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 4 0 0 4 4 4 4 0 0 0 0 0 0 0 0 0 0 0 0 4 4 0 0 0 4 4 0 4 0 4 generates a code of length 21 over Z8 who´s minimum homogenous weight is 12. Homogenous weight enumerator: w(x)=1x^0+153x^12+276x^14+64x^15+1582x^16+640x^17+3248x^18+1984x^19+7193x^20+2816x^21+6520x^22+1984x^23+3848x^24+640x^25+1200x^26+64x^27+491x^28+20x^30+41x^32+3x^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 4.88 seconds.