The generator matrix 1 0 0 1 1 1 0 2 4 1 1 1 1 0 1 0 1 2 3 0 1 0 4 6 4 0 0 0 1 1 1 0 1 1 2 0 1 0 0 0 0 0 2 0 6 6 0 2 2 6 2 0 0 0 0 0 4 0 0 0 0 4 4 0 0 0 0 0 0 0 4 0 0 4 4 0 0 0 0 0 0 0 0 0 4 0 4 0 0 4 0 0 0 0 0 0 0 0 4 4 0 4 4 4 generates a code of length 13 over Z8 who´s minimum homogenous weight is 6. Homogenous weight enumerator: w(x)=1x^0+24x^6+58x^7+209x^8+830x^9+1382x^10+4082x^11+6578x^12+6470x^13+6574x^14+4014x^15+1381x^16+890x^17+210x^18+38x^19+22x^20+2x^21+2x^22+1x^24 The gray image is a code over GF(2) with n=52, k=15 and d=12. This code was found by Heurico 1.16 in 0.761 seconds.