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 2 8 8 2 1 2 4 2 2 1 1 1 1 1 1 1 2 12 1 1 2 4 1 2 1 12 2 12 1 1 1 2 0 8 8 4 0 1 1 2 2 2 1 0 2 0 2 0 0 6 6 4 14 2 4 12 14 2 12 2 4 4 10 14 6 12 0 10 4 12 2 14 14 6 2 14 10 0 12 14 4 10 4 8 8 2 12 10 10 2 2 6 2 2 10 2 2 6 6 4 0 2 12 0 2 10 14 12 2 2 0 0 0 2 2 12 6 6 0 4 4 14 2 0 2 12 6 10 4 2 4 2 0 10 0 8 2 2 12 10 6 0 2 4 14 2 8 12 12 0 10 0 2 14 6 6 0 2 12 6 14 14 6 8 14 4 2 14 2 10 2 2 12 8 12 10 10 2 0 0 0 0 8 0 0 0 0 0 0 8 8 8 8 8 8 0 0 8 0 0 8 8 8 0 0 8 8 0 0 0 0 8 0 8 8 0 8 8 8 8 8 8 0 8 0 8 8 0 8 0 0 8 0 8 8 0 8 8 8 8 0 0 0 0 8 8 0 0 0 0 0 8 0 0 0 8 0 0 0 8 8 8 8 0 8 0 0 8 8 0 0 8 0 0 8 8 8 8 0 8 8 0 0 8 8 0 0 8 8 8 0 8 0 8 8 0 0 0 8 8 0 0 0 0 8 0 0 0 0 0 8 8 0 0 0 0 0 0 0 0 8 0 0 0 8 8 8 0 8 8 8 8 8 0 8 8 8 0 8 0 0 8 0 0 0 8 0 0 0 8 8 0 0 8 0 0 8 8 0 0 8 0 0 0 0 8 8 8 8 0 8 0 8 8 0 0 0 0 0 8 0 8 0 0 0 0 0 0 0 8 0 0 0 0 8 8 0 8 8 8 0 8 0 8 8 8 8 0 0 8 8 0 8 8 8 8 0 0 0 8 0 0 0 0 0 8 8 8 8 0 0 0 8 8 8 8 0 0 0 8 8 0 8 0 0 8 0 0 0 8 0 0 0 0 0 0 0 0 8 8 0 8 8 0 0 0 8 8 0 8 8 0 8 0 8 8 8 0 0 0 8 0 8 8 8 0 0 8 8 8 0 0 8 0 8 8 0 0 8 0 8 0 8 0 8 0 0 0 8 8 8 8 0 8 8 0 8 8 0 generates a code of length 68 over Z16 who´s minimum homogenous weight is 58. Homogenous weight enumerator: w(x)=1x^0+22x^58+132x^59+264x^60+612x^61+736x^62+1360x^63+1679x^64+2482x^65+3047x^66+4266x^67+3876x^68+3880x^69+3168x^70+2654x^71+1642x^72+1306x^73+603x^74+502x^75+178x^76+154x^77+82x^78+42x^79+30x^80+12x^81+15x^82+4x^83+10x^84+2x^85+6x^86+1x^90 The gray image is a code over GF(2) with n=544, k=15 and d=232. This code was found by Heurico 1.16 in 20.7 seconds.