The generator matrix 1 0 0 0 0 0 1 1 1 1 0 1 0 0 0 0 1 0 2 0 0 0 1 0 0 0 1 1 3 0 0 0 0 1 0 0 1 2 0 0 0 0 0 0 1 0 1 2 2 0 0 0 0 0 0 1 1 3 1 0 generates a code of length 10 over Z4 who´s minimum homogenous weight is 4. Homogenous weight enumerator: w(x)=1x^0+63x^4+44x^5+252x^6+252x^7+447x^8+728x^9+526x^10+728x^11+433x^12+252x^13+272x^14+44x^15+48x^16+6x^18 The gray image is a code over GF(2) with n=20, k=12 and d=4. This code was found by Heurico 1.10 in 0.016 seconds.