The generator matrix 1 0 0 0 0 0 1 1 1 1 2 1 1 1 0 2 1 1 1 2 1 2 1 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 1 3 3 2 2 2 3 3 0 1 1 3 0 1 2 0 0 0 1 0 0 0 0 3 2 1 1 0 3 3 0 0 1 1 2 1 1 0 2 1 1 0 0 0 0 0 1 0 0 0 1 3 2 1 0 2 3 1 1 2 0 1 3 1 3 1 3 3 0 0 0 0 0 0 1 0 1 0 1 3 3 2 0 3 1 0 2 3 2 2 1 1 1 2 1 2 0 0 0 0 0 0 1 1 3 0 2 1 3 1 2 0 1 0 3 2 2 1 1 0 0 0 2 0 0 0 0 0 0 0 2 2 0 0 2 2 0 2 2 2 2 2 2 2 0 2 0 2 0 0 0 generates a code of length 27 over Z4 who´s minimum homogenous weight is 18. Homogenous weight enumerator: w(x)=1x^0+79x^18+98x^19+230x^20+276x^21+416x^22+482x^23+585x^24+730x^25+718x^26+870x^27+749x^28+802x^29+632x^30+518x^31+401x^32+222x^33+187x^34+80x^35+76x^36+18x^37+16x^38+5x^40+1x^44 The gray image is a code over GF(2) with n=54, k=13 and d=18. This code was found by Heurico 1.16 in 2.32 seconds.