The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 1 2 2 2 1 1 2 1 1 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 2 2 2 0 0 2 2 2 0 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 2 0 2 2 2 0 2 0 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 2 2 2 2 2 2 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 2 2 2 2 0 2 0 0 2 0 0 2 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 2 0 0 2 0 2 2 2 0 0 2 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 2 2 0 2 2 0 0 0 2 2 2 2 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 2 2 2 2 0 0 2 0 2 0 0 2 2 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 0 2 0 0 0 2 0 2 0 0 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 0 0 2 2 0 0 2 2 0 0 0 0 2 2 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 0 0 2 0 0 2 2 2 2 0 0 2 0 2 0 generates a code of length 30 over Z4 who´s minimum homogenous weight is 20. Homogenous weight enumerator: w(x)=1x^0+158x^20+371x^24+192x^26+978x^28+640x^30+1056x^32+192x^34+378x^36+105x^40+22x^44+3x^48 The gray image is a code over GF(2) with n=60, k=12 and d=20. This code was found by Heurico 1.16 in 1.05 seconds.