Prime p₀= 2850477731050117697 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 70 2 4 2 22 2 28 2 28 2 (?)
a_n: 0 2 12 14 84 86 90 92 114 116 144 146 174 176
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 176
Found by: [SG-FC] hl
db: batch=82, k=14, 10 70 4 22 28 28

SPT(16)	2850476061414636469	0 24 42 48 84 118 154 162 190 198 234 268 304 310 328 352	-1669635481228
STPT(10)	2850476726063543789	0 2 42 44 60 62 78 80 120 122	-1004986573908
STPT(10)	2850476851803111239	0 2 42 44 60 62 78 80 120 122	-879247006458
SPT(16)	2850477067476389201	0 2 26 50 68 78 86 92 96 102 110 120 138 162 186 188	-663573728496
SPT(16)	2850477478653154837	0 12 16 34 42 90 114 126 130 142 166 214 222 240 244 256	-252396962860
SPT(16)	2850477574407494041	0 22 36 52 90 132 156 238 240 322 346 388 426 442 456 478	-156642623656
SPT(16)	2850477908037928331	0 30 38 62 80 98 120 122 126 128 150 168 186 210 218 248	176987810634
STPT(10)	2850478097363496701	0 2 6 8 48 50 90 92 96 98	366313379004
STPT(10)	2850478107787405367	0 2 24 26 42 44 60 62 84 86	376737287670
TPT(14)	2850478620691347047	0 2 24 26 132 134 150 152 180 182 252 254 264 266	889641229350
SPT(16)	2850478850847290959	0 112 148 190 192 204 214 262 330 378 388 400 402 444 480 592	1119797173262