The generator matrix 1 0 0 1 1 1 0 1 1 1 1 1 0 2 0 1 0 2 2 2 1 1 0 1 1 0 1 1 0 1 0 1 0 1 1 0 0 1 3 2 1 1 0 2 0 1 1 1 0 0 0 1 2 1 1 0 0 0 1 1 1 0 1 0 1 3 2 1 2 1 1 1 1 2 1 1 0 2 1 1 1 3 3 2 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 2 2 2 0 2 2 0 0 2 2 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 2 2 2 2 2 0 0 0 2 0 0 2 0 2 2 0 0 0 0 0 0 2 0 0 0 0 2 0 0 0 0 2 2 2 2 0 2 2 2 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 2 2 2 2 0 2 2 2 0 2 0 0 0 0 0 0 0 2 0 2 2 2 0 0 2 2 2 0 0 2 2 2 0 0 0 2 0 2 0 0 0 0 0 0 0 0 2 0 0 2 2 2 2 2 0 2 2 0 0 2 0 0 0 0 0 2 generates a code of length 28 over Z4 who´s minimum homogenous weight is 20. Homogenous weight enumerator: w(x)=1x^0+112x^20+248x^22+581x^24+624x^26+922x^28+704x^30+578x^32+208x^34+100x^36+8x^38+7x^40+2x^44+1x^48 The gray image is a code over GF(2) with n=56, k=12 and d=20. This code was found by Heurico 1.16 in 1.01 seconds.