The generator matrix 1 1 1 1 2 0 1 1 1 0 2 0 6 6 2 4 12 8 0 0 12 0 0 8 4 8 4 0 0 0 8 0 8 8 0 0 0 0 0 0 8 8 0 0 8 generates a code of length 9 over Z16 who´s minimum homogenous weight is 6. Homogenous weight enumerator: w(x)=1x^0+44x^6+80x^7+598x^8+608x^9+592x^10+80x^11+40x^12+4x^14+1x^16 The gray image is a code over GF(2) with n=72, k=11 and d=24. This code was found by Heurico 1.16 in 0.00539 seconds.