The generator matrix 1 0 0 0 0 0 0 0 1 1 1 1 1 0 1 0 0 0 0 0 0 0 1 1 2 0 0 0 1 0 0 0 0 0 1 0 1 2 2 0 0 0 1 0 0 0 0 1 1 3 2 0 0 0 0 0 1 0 0 0 1 2 0 3 2 0 0 0 0 0 1 0 0 1 2 3 0 1 0 0 0 0 0 0 1 0 1 3 2 0 3 0 0 0 0 0 0 0 1 2 1 0 1 0 generates a code of length 13 over Z4 who´s minimum homogenous weight is 5. Homogenous weight enumerator: w(x)=1x^0+70x^5+269x^6+654x^7+1463x^8+3004x^9+5244x^10+7588x^11+9392x^12+10168x^13+9454x^14+7504x^15+5175x^16+3076x^17+1532x^18+636x^19+224x^20+66x^21+13x^22+2x^23+1x^24 The gray image is a code over GF(2) with n=26, k=16 and d=5. This code was found by Heurico 1.10 in 1.81 seconds.