The generator matrix 1 0 0 0 0 0 0 1 1 1 1 1 0 2 0 1 2 0 2 1 0 2 1 0 0 0 1 1 2 0 1 0 1 1 1 1 2 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 1 1 1 1 1 1 1 1 1 2 3 2 3 3 2 1 0 2 0 0 0 1 0 0 0 0 0 0 1 1 1 1 1 2 3 2 1 0 2 1 2 1 3 0 1 3 1 3 0 0 1 0 1 3 0 2 1 0 0 0 0 1 0 0 0 0 1 0 3 2 1 3 0 1 1 1 1 0 0 2 2 1 2 3 3 0 1 1 3 0 0 3 2 1 0 0 0 0 0 0 0 1 0 0 0 1 1 0 2 3 2 1 3 0 1 2 3 2 2 0 3 1 1 0 0 0 3 3 0 3 3 0 2 0 0 0 0 0 0 0 0 1 0 1 0 1 3 2 3 1 3 1 2 2 3 0 2 1 0 3 0 0 2 3 0 2 0 3 1 2 3 2 1 3 0 0 0 0 0 0 0 1 1 3 2 0 3 1 0 2 3 3 1 0 0 3 2 2 0 1 3 2 3 3 1 0 1 2 1 3 1 3 2 2 0 0 0 0 0 0 0 2 2 0 2 0 2 0 2 0 2 0 2 2 2 2 0 2 2 0 2 0 2 2 2 2 2 2 2 2 0 0 0 generates a code of length 39 over Z4 who´s minimum homogenous weight is 27. Homogenous weight enumerator: w(x)=1x^0+40x^27+131x^28+264x^29+508x^30+640x^31+944x^32+1138x^33+1436x^34+2014x^35+2321x^36+2560x^37+2726x^38+2906x^39+2951x^40+2788x^41+2397x^42+1972x^43+1561x^44+1240x^45+840x^46+548x^47+359x^48+186x^49+142x^50+70x^51+51x^52+16x^53+14x^54+2x^55+1x^56+1x^58 The gray image is a code over GF(2) with n=78, k=15 and d=27. This code was found by Heurico 1.10 in 25.4 seconds.