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 2 2 2 2 2 4 4 1 2 0 1 0 2 1 4 1 1 1 1 4 2 1 4 1 2 4 2 2 1 1 4 1 1 1 0 12 0 4 0 0 4 12 0 0 12 12 0 8 12 8 12 0 12 12 4 12 4 0 8 0 12 8 4 4 12 4 12 8 0 12 0 12 8 12 8 4 4 12 0 12 12 8 4 8 0 4 4 4 4 0 0 12 12 12 0 4 4 12 0 0 0 12 4 0 12 4 0 0 12 12 8 8 12 4 4 0 8 0 0 4 4 12 8 4 0 8 4 0 0 4 4 8 4 12 8 12 8 4 0 4 8 8 4 4 8 4 0 12 4 12 12 8 4 4 12 12 8 0 8 8 4 0 12 0 0 0 0 8 0 0 0 0 0 0 0 0 0 0 8 0 0 0 8 8 0 0 8 8 0 8 0 0 0 8 8 8 8 8 8 8 8 0 0 0 8 0 8 8 8 0 0 8 0 8 0 8 8 0 8 8 8 0 0 0 8 0 0 8 0 0 0 0 0 8 0 0 0 0 0 0 8 0 0 8 8 8 8 8 0 0 8 0 0 0 0 0 8 8 0 0 8 8 8 8 0 8 0 0 8 0 0 8 0 0 8 0 8 0 8 0 8 8 0 0 0 0 8 8 8 0 8 8 8 0 0 0 0 0 0 8 0 0 0 0 0 0 0 8 0 0 8 8 8 8 0 0 0 8 0 8 0 8 8 0 8 8 0 8 0 8 0 8 8 0 0 8 8 8 0 8 8 0 0 0 8 0 8 8 8 8 0 8 0 8 0 8 8 0 0 0 0 0 0 0 0 8 0 0 0 8 0 0 0 0 0 0 0 8 8 8 8 0 8 0 8 0 0 0 8 0 8 8 8 8 0 8 8 8 8 0 8 8 0 0 8 0 0 0 0 8 8 0 0 8 0 8 0 8 8 0 8 8 0 0 0 0 0 0 0 0 0 8 0 0 8 0 8 8 0 0 0 8 8 0 8 0 8 0 0 0 8 0 8 0 8 0 8 8 8 0 8 0 8 8 0 0 8 0 8 8 8 0 0 8 0 0 0 8 0 0 0 0 8 8 8 0 0 0 0 0 0 0 0 0 0 0 0 8 0 0 0 8 0 0 0 0 0 0 0 0 0 0 0 8 8 8 8 8 8 8 8 0 8 8 8 0 8 8 8 8 0 0 8 8 0 8 8 8 8 8 0 0 0 0 8 8 8 8 0 0 0 8 8 0 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 8 0 0 0 0 8 8 8 8 0 8 8 8 8 0 0 0 8 8 8 0 0 8 8 0 8 0 8 0 0 0 0 8 0 8 8 8 8 8 8 8 0 0 8 8 8 0 8 8 0 generates a code of length 65 over Z16 who´s minimum homogenous weight is 52. Homogenous weight enumerator: w(x)=1x^0+61x^52+32x^53+118x^54+138x^55+236x^56+314x^57+412x^58+618x^59+959x^60+1338x^61+2352x^62+3296x^63+4074x^64+4836x^65+4032x^66+3412x^67+2443x^68+1332x^69+964x^70+618x^71+306x^72+290x^73+214x^74+98x^75+86x^76+50x^77+64x^78+12x^79+23x^80+28x^82+2x^84+6x^86+2x^90+1x^92 The gray image is a code over GF(2) with n=520, k=15 and d=208. This code was found by Heurico 1.16 in 28 seconds.