Prime p₀= 2888888921568698687 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 16 2 70 2 10 2 166 2 28 2 (?)
a_n: 0 2 42 44 60 62 132 134 144 146 312 314 342 344
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: 344
Found by: [SG-FC] hl
db: batch=82, k=14, 40 16 70 10 166 28

STPT(10)	2888887670621197247	0 2 30 32 60 62 90 92 120 122	-1250947501440
SPT(16)	2888888004369458569	0 30 34 60 108 130 142 174 298 330 342 364 412 438 442 472	-917199240118
STPT(10)	2888888602574464727	0 2 30 32 42 44 54 56 84 86	-318994233960
TPT(14)	2888888617927185407	0 2 30 32 42 44 120 122 144 146 162 164 204 206	-303641513280
SPT(16)	2888888738595481117	0 16 34 136 160 166 174 184 192 202 210 216 240 342 360 376	-182973217570
STPT(10)	2888888771698272527	0 2 30 32 60 62 90 92 120 122	-149870426160
SPT(16)	2888889218776050967	0 22 24 46 52 54 64 72 94 102 112 114 120 142 144 166	297207352280
SPT(16)	2888889564354485611	0 22 36 96 106 118 142 148 300 306 330 342 352 412 426 448	642785786924
SPT(16)	2888889975352470277	0 4 16 34 42 52 94 96 130 132 174 184 192 210 222 226	1053783771590
SPT(16)	2888890355805265759	0 28 34 48 54 94 100 124 234 258 264 304 310 324 330 358	1434236567072
STPT(10)	2888890522532672699	0 2 18 20 30 32 42 44 60 62	1600963974012