The generator matrix 1 0 1 1 1 0 1 1 0 1 1 0 1 1 1 1 2 1 2 2 1 2 2 0 1 0 0 0 1 1 0 3 1 0 3 1 0 1 1 2 2 2 2 0 3 1 2 3 0 1 2 1 0 2 0 0 2 0 2 0 2 0 2 2 0 2 2 2 0 0 2 0 2 2 2 0 2 2 2 2 0 0 0 0 2 2 2 2 0 0 0 2 2 0 2 2 0 2 2 0 0 0 2 2 0 2 2 0 generates a code of length 27 over Z4 who´s minimum homogenous weight is 25. Homogenous weight enumerator: w(x)=1x^0+16x^25+10x^26+8x^27+14x^28+4x^29+6x^30+1x^32+4x^33 The gray image is a code over GF(2) with n=54, k=6 and d=25. This code was found by Heurico 1.16 in 0.00573 seconds.