The generator matrix 1 0 0 1 1 1 1 0 1 0 1 12 13 0 0 0 1 1 0 3 0 0 0 0 2 6 4 0 0 0 0 0 8 8 8 generates a code of length 7 over Z16 who´s minimum homogenous weight is 3. Homogenous weight enumerator: w(x)=1x^0+90x^3+538x^4+2712x^5+11493x^6+35868x^7+11493x^8+2712x^9+538x^10+90x^11+1x^14 The gray image is a code over GF(2) with n=56, k=16 and d=12. This code was found by Heurico 1.16 in 0.393 seconds.