The generator matrix 1 0 1 1 1 1 1 21 1 1 1 24 1 1 1 1 0 1 7 26 21 4 20 1 24 19 23 1 0 0 0 0 0 0 9 0 0 0 18 18 0 18 9 9 0 9 0 0 0 0 0 9 0 0 18 9 18 9 0 9 9 18 0 0 0 0 0 0 18 0 18 9 9 0 9 18 9 18 0 9 0 0 0 0 0 9 0 9 9 18 18 9 18 18 9 9 generates a code of length 16 over Z27 who´s minimum homogenous weight is 21. Homogenous weight enumerator: w(x)=1x^0+34x^21+18x^22+140x^24+180x^25+162x^26+316x^27+720x^28+972x^29+16484x^30+1440x^31+1944x^32+32630x^33+1440x^34+1296x^35+512x^36+576x^37+164x^39+8x^42+8x^45+4x^48 The gray image is a code over GF(3) with n=144, k=10 and d=63. This code was found by Heurico 1.16 in 1.19 seconds.