The generator matrix 1 1 1 1 1 1 1 0 2 0 2 0 0 0 0 0 2 2 0 0 0 0 0 0 8 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 8 generates a code of length 7 over Z16 who´s minimum homogenous weight is 2. Homogenous weight enumerator: w(x)=1x^0+43x^2+48x^3+201x^4+480x^5+1547x^6+11744x^7+1547x^8+480x^9+201x^10+48x^11+43x^12+1x^14 The gray image is a code over GF(2) with n=56, k=14 and d=8. This code was found by Heurico 1.16 in 0.031 seconds.