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 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 1 4 1 1 2 4 4 1 2 4 1 1 4 1 1 4 1 1 0 2 1 2 2 4 2 1 2 1 2 1 2 1 0 12 0 0 0 4 12 4 0 8 0 12 0 0 12 12 4 0 8 8 4 4 0 4 4 8 4 4 12 8 4 8 8 12 12 12 12 4 12 12 8 12 4 12 4 4 0 12 0 8 12 12 4 0 8 0 0 8 4 4 12 0 12 4 0 4 0 8 12 12 12 12 4 8 0 8 12 0 0 0 12 0 4 4 12 0 0 0 12 8 0 12 4 0 12 8 12 12 12 4 12 12 0 0 8 8 8 4 4 12 12 0 12 12 0 0 0 4 0 12 4 8 0 4 8 8 12 4 8 4 12 12 4 12 4 0 0 8 8 8 4 8 0 8 0 4 12 12 12 8 4 12 4 0 4 4 0 0 0 12 4 0 12 4 0 4 12 12 8 8 4 8 0 4 4 0 8 4 4 0 0 8 4 8 4 8 4 4 8 4 8 12 4 8 8 0 4 4 0 0 4 0 0 8 8 4 4 4 8 0 8 8 12 4 12 8 0 4 4 8 4 4 12 4 12 12 0 12 4 4 4 0 4 12 0 0 0 0 8 0 0 0 0 0 0 0 0 0 8 8 8 0 0 8 8 8 8 0 0 0 0 8 8 8 8 0 0 8 8 0 8 0 8 8 0 0 0 8 0 8 8 0 8 0 8 8 0 8 0 0 0 8 0 0 0 8 0 8 8 0 0 8 8 8 8 8 8 8 8 0 0 0 0 0 0 0 0 8 0 0 0 0 8 8 8 0 8 0 8 0 0 0 0 8 8 0 0 8 0 8 8 8 0 8 8 8 0 0 0 8 8 8 0 8 8 8 8 0 8 8 8 8 0 8 8 0 8 0 0 8 0 8 8 0 0 8 8 8 0 0 0 8 0 0 0 0 8 0 0 8 0 0 0 0 0 0 8 0 0 8 8 8 0 0 0 8 8 0 0 0 0 8 8 0 8 0 0 8 8 0 0 8 0 0 8 8 8 8 8 0 0 0 8 0 0 8 0 0 8 0 0 8 0 0 8 8 0 8 8 0 8 8 0 0 0 8 8 0 8 8 0 0 0 8 0 8 8 0 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 0 8 8 8 8 8 8 8 8 8 8 8 8 8 8 0 0 0 8 8 8 8 8 8 8 8 8 0 8 8 8 8 0 8 8 8 0 0 8 0 8 8 0 0 0 0 0 8 0 0 8 0 0 0 0 0 0 0 0 8 0 0 0 0 8 8 8 0 8 0 0 0 8 8 0 8 8 8 0 8 8 0 0 8 8 0 8 0 0 8 0 8 0 8 0 0 0 8 0 0 8 8 0 0 8 0 8 0 0 8 8 8 8 0 0 8 0 8 8 0 0 0 8 8 8 0 0 8 0 generates a code of length 78 over Z16 who´s minimum homogenous weight is 66. Homogenous weight enumerator: w(x)=1x^0+150x^66+438x^68+741x^70+1200x^72+128x^73+2377x^74+896x^75+4487x^76+3072x^77+5824x^78+3072x^79+4598x^80+896x^81+2407x^82+128x^83+1101x^84+587x^86+370x^88+155x^90+77x^92+38x^94+14x^96+7x^98+1x^100+2x^102+1x^112 The gray image is a code over GF(2) with n=624, k=15 and d=264. This code was found by Heurico 1.16 in 36.5 seconds.