The generator matrix 1 0 0 0 0 0 1 1 1 2 1 1 1 2 1 1 1 1 2 0 1 2 1 0 1 2 0 0 1 0 0 0 0 0 0 0 0 1 3 2 1 0 1 2 0 2 1 3 2 1 1 0 2 1 0 0 1 0 0 0 0 0 0 0 2 1 3 1 2 3 2 1 1 2 3 0 0 2 1 1 0 0 0 0 1 0 0 1 2 3 1 0 0 0 0 0 2 3 0 3 3 2 2 0 3 3 1 2 0 0 0 0 1 0 1 3 2 3 0 0 0 0 2 0 2 3 1 3 1 2 1 0 0 2 3 0 0 0 0 0 1 2 1 3 3 1 2 3 3 1 2 3 0 2 0 1 1 0 1 3 3 0 generates a code of length 27 over Z4 who´s minimum homogenous weight is 20. Homogenous weight enumerator: w(x)=1x^0+196x^20+430x^22+633x^24+772x^26+813x^28+658x^30+405x^32+152x^34+31x^36+4x^38+1x^48 The gray image is a code over GF(2) with n=54, k=12 and d=20. This code was found by Heurico 1.10 in 0.25 seconds.