The generator matrix 1 0 0 0 1 1 1 0 1 1 1 1 2 0 0 1 2 1 0 1 1 2 2 1 2 1 2 0 1 0 0 0 0 0 1 1 1 3 3 0 1 2 0 1 0 2 3 1 1 1 1 2 0 1 0 0 1 0 0 1 1 1 1 2 1 2 1 2 1 0 1 1 2 2 3 1 3 2 2 3 2 0 0 0 1 1 1 0 1 0 3 1 2 3 1 2 0 0 2 1 3 3 3 0 0 1 3 0 0 0 0 0 2 0 0 0 0 0 2 0 2 0 2 2 0 0 2 0 0 2 2 2 2 2 2 0 0 0 0 0 2 0 0 2 0 2 2 2 2 0 0 2 0 2 0 2 2 0 2 2 0 0 0 0 0 0 0 0 2 0 0 0 0 2 0 2 2 2 2 2 2 0 2 2 0 2 0 0 2 0 0 0 0 0 0 0 2 2 2 2 2 2 0 2 2 0 2 0 0 2 2 0 2 0 2 2 generates a code of length 27 over Z4 who´s minimum homogenous weight is 20. Homogenous weight enumerator: w(x)=1x^0+197x^20+402x^22+707x^24+730x^26+780x^28+662x^30+456x^32+126x^34+31x^36+3x^40+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 1.16 in 0.637 seconds.