The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 2 1 1 2 1 1 1 1 2 1 1 1 2 1 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 2 2 2 0 2 0 2 2 2 0 2 2 2 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 2 2 2 2 2 0 2 2 2 0 0 2 0 2 2 2 0 0 2 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 2 2 2 2 2 0 2 2 2 0 0 2 0 2 2 2 0 0 2 2 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 2 0 2 2 2 0 0 2 2 2 0 0 0 0 0 0 2 0 2 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 2 0 2 2 0 2 0 2 2 0 0 0 0 0 2 0 2 2 2 2 0 2 2 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 2 2 2 2 0 2 2 0 0 2 0 0 2 0 2 2 0 0 0 0 2 2 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 2 2 0 2 0 0 0 2 2 0 2 2 2 0 2 0 2 0 0 0 2 2 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 0 2 0 0 2 0 2 0 0 2 0 2 0 2 2 2 2 0 0 2 2 2 0 2 2 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 0 0 0 2 0 0 2 2 0 0 0 2 0 0 0 2 2 2 0 2 0 2 2 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 0 0 2 2 2 2 2 0 2 2 2 2 0 2 2 0 0 0 2 0 0 0 0 2 generates a code of length 39 over Z4 who´s minimum homogenous weight is 28. Homogenous weight enumerator: w(x)=1x^0+157x^28+333x^32+64x^34+704x^36+640x^38+1142x^40+320x^42+459x^44+214x^48+55x^52+6x^56+1x^68 The gray image is a code over GF(2) with n=78, k=12 and d=28. This code was found by Heurico 1.16 in 1.82 seconds.