The generator matrix 1 0 1 1 1 2 1 0 1 1 0 0 0 0 0 0 2 0 0 2 0 0 0 0 2 0 2 0 0 0 0 0 2 2 0 0 0 0 0 0 4 0 0 0 0 0 0 0 4 generates a code of length 7 over Z8 who´s minimum homogenous weight is 2. Homogenous weight enumerator: w(x)=1x^0+55x^2+88x^3+469x^4+1440x^5+3571x^6+5136x^7+3571x^8+1440x^9+469x^10+88x^11+55x^12+1x^14 The gray image is a code over GF(2) with n=28, k=14 and d=4. This code was found by Heurico 1.16 in 0.0619 seconds.