The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 0 1 1 1 1 2 8 1 2 1 2 4 12 1 2 1 1 0 2 1 1 1 1 2 1 1 2 12 2 1 8 0 1 1 0 2 1 1 1 0 1 2 12 2 1 4 1 0 2 0 6 4 14 12 2 0 6 14 12 8 10 2 4 14 2 8 8 6 2 14 12 4 10 14 2 14 2 4 10 2 2 2 6 0 6 2 10 2 14 0 4 14 6 0 6 2 2 4 4 0 4 12 2 4 12 2 10 8 6 14 2 2 2 4 10 0 0 12 0 4 4 0 4 0 0 4 8 4 8 12 12 4 4 4 4 0 8 8 8 8 0 4 4 4 12 12 8 4 8 0 8 0 0 8 0 4 12 8 4 12 0 0 0 8 12 4 4 4 8 12 8 12 4 12 0 4 12 4 0 12 8 4 0 0 0 0 8 0 0 0 0 0 0 0 0 0 8 0 0 0 8 8 8 8 0 0 8 8 8 8 8 0 8 0 8 8 8 0 8 8 0 0 8 0 8 8 0 0 8 0 8 8 0 0 8 8 0 0 8 8 0 8 0 0 0 8 8 8 0 0 0 0 0 0 0 8 0 0 0 0 8 8 8 0 0 8 8 8 0 8 0 8 8 0 0 8 0 8 0 0 8 0 8 0 8 0 8 0 8 8 8 8 0 0 8 8 0 0 8 8 0 0 8 0 0 0 0 8 0 0 0 8 0 8 8 0 8 0 0 0 0 0 0 0 8 0 0 0 0 8 0 0 0 0 0 0 0 0 0 0 0 8 8 8 8 8 8 8 0 8 8 8 0 8 8 8 0 8 0 0 0 0 8 8 8 8 8 8 8 8 0 8 0 8 0 8 8 8 8 0 0 8 8 0 8 8 8 0 0 0 0 0 0 8 0 0 0 0 8 0 0 0 0 8 0 8 8 0 8 8 0 0 8 0 0 8 8 0 8 8 8 8 8 8 8 8 0 0 8 8 0 8 8 0 8 0 0 8 0 0 0 0 0 8 8 0 0 8 0 8 0 0 0 8 8 0 0 0 0 0 0 0 8 0 0 0 0 0 0 8 0 8 8 0 0 0 0 8 8 8 8 8 0 0 8 8 8 0 8 8 8 0 8 8 8 0 0 8 0 0 0 8 0 0 8 8 8 0 8 8 0 8 0 8 0 8 0 8 0 8 0 0 0 0 0 0 0 0 0 0 0 8 0 0 0 8 8 8 8 8 8 0 8 0 8 8 0 8 8 0 8 0 0 8 8 8 8 0 0 0 8 0 8 8 0 0 0 8 8 8 8 0 8 0 0 8 0 0 0 8 0 0 0 0 0 8 8 0 0 0 8 generates a code of length 68 over Z16 who´s minimum homogenous weight is 57. Homogenous weight enumerator: w(x)=1x^0+44x^57+109x^58+160x^59+283x^60+618x^61+557x^62+1338x^63+1446x^64+3120x^65+2391x^66+5020x^67+2774x^68+4860x^69+2417x^70+3164x^71+1384x^72+1412x^73+552x^74+496x^75+212x^76+170x^77+95x^78+58x^79+28x^80+16x^81+16x^82+4x^83+10x^84+3x^86+4x^88+3x^90+1x^92+1x^96+1x^98 The gray image is a code over GF(2) with n=544, k=15 and d=228. This code was found by Heurico 1.16 in 87.1 seconds.