The generator matrix 1 0 1 1 1 0 1 1 4 1 1 0 1 0 1 1 0 1 1 0 3 1 0 3 1 0 0 0 2 0 0 0 0 0 2 2 4 6 0 0 0 0 2 0 0 0 0 2 4 2 2 0 0 0 0 0 2 0 0 2 0 6 6 4 2 0 0 0 0 0 2 6 2 2 0 4 0 2 0 0 0 0 0 0 4 0 0 0 4 4 0 0 0 0 0 0 0 0 4 4 4 0 0 0 generates a code of length 13 over Z8 who´s minimum homogenous weight is 6. Homogenous weight enumerator: w(x)=1x^0+103x^6+158x^7+368x^8+1040x^9+2578x^10+9276x^11+9294x^12+20008x^13+9160x^14+9264x^15+2543x^16+1088x^17+446x^18+116x^19+82x^20+8x^21+1x^22+2x^23 The gray image is a code over GF(2) with n=52, k=16 and d=12. This code was found by Heurico 1.16 in 3.54 seconds.