Prime p₀= 2650584622043208911 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 28 2 118 2 28 2 58 2 4 2 (?)
a_n: 0 2 60 62 90 92 210 212 240 242 300 302 306 308
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: 308
Found by: Dirk Broer
db: batch=82, k=14, 58 28 118 28 58 4

STPT(10)	2650583245645245707	0 2 24 26 42 44 60 62 84 86	-1376397963204
SPT(16)	2650583625708730177	0 6 36 42 72 76 120 156 160 196 240 244 274 280 310 316	-996334478734
STPT(12)	2650583872985933567	0 2 12 14 42 44 60 62 90 92 102 104	-749057275344
SPT(16)	2650583991423904541	0 12 18 68 78 92 96 108 110 122 126 140 150 200 206 218	-630619304370
SPT(16)	2650584062722872317	0 12 26 44 96 110 122 126 140 144 156 170 222 240 254 266	-559320336594
STPT(10)	2650584233166231959	0 2 42 44 60 62 78 80 120 122	-388876976952
STPT(12)	2650584622043208911	0 2 60 62 90 92 210 212 240 242 300 302	0
SPT(16)	2650584622412464919	0 2 32 38 48 62 80 90 122 132 150 164 174 180 210 212	369256008
SPT(16)	2650584716392940143	0 10 18 36 40 48 60 76 138 154 166 174 178 196 204 214	94349731232
STPT(10)	2650585332766518137	0 2 12 14 72 74 132 134 144 146	710723309226
SPT(16)	2650585410434966281	0 6 12 60 70 82 90 106 186 202 210 222 232 280 286 292	788391757370