Prime p₀= 2098457870083190087 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 40 2 46 2 10 2 28 2 40 2 (?)
a_n: 0 2 90 92 132 134 180 182 192 194 222 224 264 266
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: 266
Found by: Landjunge
db: batch=80, k=14, 88 40 46 10 28 40

STPT(10)	2098457144379281459	0 2 12 14 90 92 168 170 180 182	-725703908628
SPT(16)	2098457214540594161	0 30 56 66 78 92 102 122 126 146 156 170 182 192 218 248	-655542595926
STPT(10)	2098457359382699879	0 2 48 50 90 92 132 134 180 182	-510700490208
STPT(10)	2098457410000457711	0 2 6 8 18 20 30 32 36 38	-460082732376
SPT(16)	2098457590210469161	0 10 90 108 112 130 150 190 198 238 258 276 280 298 378 388	-279872720926
SPT(16)	2098457787788194717	0 22 52 82 96 154 162 222 274 334 342 400 414 444 474 496	-82294995370
SPT(16)	2098457999846991907	0 4 12 24 40 82 94 232 252 390 402 444 460 472 480 484	129763801820
STPT(10)	2098458029576921861	0 2 30 32 60 62 90 92 120 122	159493731774
STPT(10)	2098458278912505479	0 2 12 14 30 32 48 50 60 62	408829315392
STPT(10)	2098458344683611101	0 2 36 38 78 80 120 122 156 158	474600421014
STPT(10)	2098458480328989971	0 2 90 92 108 110 126 128 216 218	610245799884