The generator matrix 1 0 0 0 0 0 0 1 1 1 1 1 1 1 2 1 1 2 2 1 1 0 1 2 1 1 1 0 1 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 1 0 2 1 1 2 1 1 0 0 0 0 1 0 0 0 0 0 1 1 2 1 2 0 0 1 2 0 2 3 3 3 2 2 0 0 0 0 0 0 1 0 0 0 0 1 2 3 1 0 1 3 3 3 1 2 0 3 2 2 2 2 0 0 0 0 0 0 1 0 0 0 1 3 1 2 3 3 1 0 0 1 1 2 3 2 1 2 1 0 0 0 0 0 0 0 1 0 1 0 1 2 3 2 3 2 3 1 1 2 0 3 3 3 3 0 0 0 0 0 0 0 0 0 1 1 3 1 0 0 0 2 0 1 3 2 3 2 3 2 2 1 1 0 0 0 0 0 0 0 0 0 2 2 0 0 0 2 2 2 2 0 0 2 2 2 2 2 0 2 0 0 generates a code of length 27 over Z4 who´s minimum homogenous weight is 16. Homogenous weight enumerator: w(x)=1x^0+155x^16+650x^18+1544x^20+2876x^22+4987x^24+6152x^26+6145x^28+4968x^30+3080x^32+1466x^34+558x^36+140x^38+41x^40+4x^42+1x^44 The gray image is a code over GF(2) with n=54, k=15 and d=16. This code was found by Heurico 1.10 in 11.5 seconds.