Prime p₀= 2204997583766098577 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 28 2 28 2 34 2 112 2 58 2 (?)
a_n: 0 2 24 26 54 56 84 86 120 122 234 236 294 296
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: 296
Found by: Penguin
db: batch=81, k=14, 22 28 28 34 112 58

STPT(10)	2204996789518778579	0 2 18 20 30 32 42 44 60 62	-794247319998
STPT(10)	2204996935769439527	0 2 42 44 72 74 102 104 144 146	-647996659050
SPT(16)	2204997049297380227	0 32 42 54 110 164 182 194 252 264 282 336 392 404 414 446	-534468718350
SPT(16)	2204997413442829979	0 30 44 54 72 120 128 180 182 234 242 290 308 318 332 362	-170323268598
SPT(16)	2204997420347448869	0 18 44 50 60 72 74 108 224 258 260 272 282 288 314 332	-163418649708
SPT(16)	2204997480446585389	0 52 70 102 130 144 210 220 222 232 298 312 340 372 390 442	-103319513188
SPT(16)	2204997724389916451	0 2 20 42 80 90 98 146 402 450 458 468 506 528 546 548	140623817874
SPT(16)	2204997737280055423	0 10 46 66 76 90 136 144 160 168 214 228 238 258 294 304	153513956846
STPT(10)	2204998187378300009	0 2 12 14 90 92 168 170 180 182	603612201432
STPT(10)	2204998347626316017	0 2 12 14 42 44 72 74 84 86	763860217440
SPT(18)	2204999172872802421	0 52 70 120 126 136 190 216 276 286 346 372 426 436 442 492 510 562	1589106703844