The generator matrix 1 0 1 1 1 0 1 1 0 1 1 2 1 1 0 1 1 0 1 1 0 1 0 2 1 0 1 0 1 1 1 0 1 0 1 0 1 1 2 0 1 1 0 1 1 0 1 1 0 1 1 0 3 1 3 0 1 0 3 1 0 1 1 3 1 0 1 2 0 3 1 3 1 1 1 1 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 2 2 2 2 2 2 0 2 2 2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 0 2 2 0 0 0 2 2 0 0 0 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 0 0 2 2 2 0 2 2 2 2 0 2 0 0 2 2 0 2 2 0 0 0 0 0 2 0 0 0 0 0 2 0 2 0 2 2 2 0 2 0 2 2 2 2 2 2 2 0 2 2 0 0 0 2 2 2 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 2 2 0 0 2 2 2 0 2 2 0 2 0 2 0 2 0 2 0 0 0 2 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 2 0 2 0 0 2 0 0 2 0 0 2 2 2 0 2 2 0 0 2 0 2 0 2 2 2 2 0 0 0 0 0 0 0 0 2 0 0 2 2 0 0 2 0 2 2 2 2 0 2 0 0 0 2 0 2 0 2 2 2 0 2 2 2 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 2 2 2 0 0 2 2 0 2 0 2 2 0 0 2 0 2 2 0 0 0 2 2 2 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 0 2 2 2 0 0 0 2 2 2 2 0 2 0 0 2 0 2 2 2 2 2 generates a code of length 39 over Z4 who´s minimum homogenous weight is 28. Homogenous weight enumerator: w(x)=1x^0+162x^28+66x^30+537x^32+606x^34+1402x^36+1172x^38+1740x^40+956x^42+938x^44+266x^46+278x^48+6x^50+54x^52+4x^56+4x^60 The gray image is a code over GF(2) with n=78, k=13 and d=28. This code was found by Heurico 1.16 in 5.36 seconds.