Prime p₀= 568817992487000909 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 28 2 16 2 70 2 10 2 76 2 (?)
a_n: 0 2 30 32 48 50 120 122 132 134 210 212
All 12 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 212
Found by: marsinph
db: batch=71, k=12, 28 16 70 10 76

SPT(14)	568817903740895801	0 38 62 80 90 98 122 126 150 158 168 186 210 248	-88746105108
SPT(14)	568817913055278631	0 16 72 76 78 90 118 120 148 160 162 166 222 238	-79431722278
SPT(14)	568817954351009159	0 12 38 54 68 80 90 122 132 144 158 174 200 212	-38135991750
SPT(14)	568817960397492413	0 38 56 98 110 150 236 270 356 396 408 450 468 506	-32089508496
SPT(14)	568817981195903519	0 2 20 42 54 90 120 182 212 248 260 282 300 302	-11291097390
SPT(14)	568817987659040891	0 6 38 48 50 120 150 158 188 258 260 270 302 308	-4827960018
SPT(14)	568818004610226199	0 12 22 112 142 162 178 264 280 300 330 420 430 442	12123225290
SPT(14)	568818049850797807	0 30 46 100 106 120 130 156 166 180 186 240 256 286	57363796898
SPT(14)	568818066098239367	0 42 54 60 102 152 174 182 204 254 296 302 314 356	73611238458
TPT(12)	568818069088182941	0 2 18 20 60 62 66 68 186 188 240 242	76601182032
SPT(14)	568818075628224139	0 54 70 78 90 102 144 148 190 202 214 222 238 292	83141223230