Prime p₀= 2677237099531637099 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 10 2 100 2 64 2 70 2 136 2 (?)
a_n: 0 2 18 20 30 32 132 134 198 200 270 272 408 410
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: 410
Found by: JayPi
db: batch=82, k=14, 16 10 100 64 70 136

STPT(10)	2677235437443868289	0 2 18 20 30 32 42 44 60 62	-1662087768810
SPT(16)	2677235728306110289	0 10 24 30 40 54 70 94 114 138 154 168 178 184 198 208	-1371225526810
SPT(16)	2677235828034771877	0 40 52 82 174 184 214 216 220 222 252 262 354 384 396 436	-1271496865222
STPT(10)	2677235878962739481	0 2 30 32 78 80 126 128 156 158	-1220568897618
SPT(16)	2677236372048373609	0 40 48 82 108 112 148 180 190 222 258 262 288 322 330 370	-727483263490
SPT(16)	2677236829602900013	0 4 60 94 96 124 186 234 250 298 360 388 390 424 480 484	-269928737086
STPT(10)	2677237195036949549	0 2 42 44 90 92 138 140 180 182	95505312450
TPT(14)	2677237245131713487	0 2 54 56 150 152 192 194 234 236 312 314 420 422	145600076388
SPT(16)	2677237497801690121	0 22 30 82 96 100 130 180 232 282 312 316 330 382 390 412	398270053022
SPT(16)	2677238212991350079	0 30 80 120 194 210 218 282 290 354 362 378 452 492 542 572	1113459712980
STPT(10)	2677238858127876059	0 2 42 44 90 92 138 140 180 182	1758596238960