The generator matrix 1 0 0 0 0 0 0 1 1 1 1 1 0 2 1 1 1 2 0 0 1 2 2 0 0 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 1 2 1 3 2 2 1 1 2 1 1 0 1 1 0 0 0 0 1 0 0 0 0 0 1 1 2 3 1 1 0 3 3 0 1 2 0 0 3 2 0 0 1 1 0 0 0 1 0 0 0 1 0 2 3 1 3 1 2 1 0 1 2 2 2 1 2 2 2 1 1 0 0 0 0 0 1 0 0 1 2 3 3 2 3 1 0 3 1 1 1 3 3 1 1 1 0 1 0 0 0 0 0 0 0 1 0 1 3 2 0 0 2 1 0 2 0 3 3 3 1 2 3 3 2 0 0 0 0 0 0 0 0 0 1 2 1 2 3 0 0 1 1 3 1 2 2 0 3 1 3 3 1 2 2 0 generates a code of length 28 over Z4 who´s minimum homogenous weight is 18. Homogenous weight enumerator: w(x)=1x^0+40x^18+118x^19+255x^20+322x^21+504x^22+678x^23+933x^24+1298x^25+1486x^26+1628x^27+1701x^28+1742x^29+1509x^30+1296x^31+1012x^32+714x^33+505x^34+294x^35+192x^36+80x^37+47x^38+18x^39+2x^40+4x^41+5x^42 The gray image is a code over GF(2) with n=56, k=14 and d=18. This code was found by Heurico 1.10 in 3.65 seconds.