The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 0 0 0 1 1 2 1 1 2 2 2 2 0 0 0 2 0 2 0 0 2 2 0 0 2 2 0 2 2 2 2 0 0 0 0 2 2 0 2 2 0 2 2 0 0 2 2 0 2 2 0 0 2 2 0 2 2 0 0 2 2 0 2 0 2 0 2 2 0 0 0 2 generates a code of length 29 over Z4 who´s minimum homogenous weight is 30. Homogenous weight enumerator: w(x)=1x^0+8x^30+7x^32 The gray image is a code over GF(2) with n=58, k=4 and d=30. This code was found by Heurico 1.16 in 0.00316 seconds.