The generator matrix 1 0 0 0 0 0 1 1 1 2 1 1 1 2 1 1 1 2 0 1 1 1 2 2 1 1 2 1 1 0 0 0 0 1 0 1 1 1 1 0 1 0 0 0 0 0 0 0 1 1 3 2 0 0 1 3 0 1 1 3 3 2 2 1 0 1 1 2 1 0 1 0 3 1 3 1 3 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 3 2 0 1 1 1 1 1 0 0 2 3 2 3 1 3 1 2 1 3 2 0 0 0 1 0 0 0 1 1 1 1 2 0 3 3 0 1 1 1 3 1 2 2 2 3 1 0 2 0 1 1 2 1 3 0 0 2 0 0 0 0 0 0 1 0 1 1 0 1 2 1 3 1 3 1 3 1 0 1 2 0 3 0 1 3 1 0 0 3 3 1 2 2 2 2 1 3 3 0 0 0 0 0 1 1 0 1 1 2 3 0 2 1 3 2 1 1 1 3 3 3 3 3 2 2 0 3 3 2 2 1 1 0 3 0 3 3 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 2 0 2 2 0 2 2 0 2 2 2 0 0 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 2 2 2 2 2 0 2 0 2 2 0 2 0 0 0 0 0 0 2 2 2 2 2 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 0 2 2 0 2 0 0 2 0 2 0 0 0 0 0 2 0 0 0 2 2 2 0 generates a code of length 39 over Z4 who´s minimum homogenous weight is 28. Homogenous weight enumerator: w(x)=1x^0+260x^28+926x^30+1885x^32+2988x^34+4506x^36+5576x^38+5924x^40+4752x^42+3256x^44+1622x^46+714x^48+244x^50+90x^52+20x^54+4x^56 The gray image is a code over GF(2) with n=78, k=15 and d=28. This code was found by Heurico 1.16 in 87.2 seconds.