Prime p₀= 2098676827093758761 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 40 2 76 2 88 2 28 2 16 2 (?)
a_n: 0 2 48 50 90 92 168 170 258 260 288 290 306 308
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: Jeff17
db: batch=80, k=14, 46 40 76 88 28 16

SPT(16)	2098675888613875313	0 18 68 86 98 140 150 158 288 296 306 348 360 378 428 446	-938479883448
SPT(16)	2098675906566288821	0 50 78 90 158 186 192 212 246 266 272 300 368 380 408 458	-920527469940
STPT(10)	2098676194750920527	0 2 30 32 42 44 54 56 84 86	-632342838234
STPT(10)	2098676404462821977	0 2 54 56 132 134 210 212 264 266	-422630936784
TPT(14)	2098676445103569281	0 2 30 32 60 62 96 98 108 110 168 170 186 188	-381990189480
SPT(16)	2098676562904651577	0 26 56 102 144 150 152 162 224 234 236 242 284 330 360 386	-264189107184
SPT(16)	2098677193487134339	0 10 22 52 72 100 102 112 192 202 204 232 252 282 294 304	366393375578
SPT(16)	2098677210009666359	0 2 30 42 54 84 134 150 152 168 218 248 260 272 300 302	382915907598
STPT(10)	2098677541310918831	0 2 6 8 48 50 90 92 96 98	714217160070
SPT(16)	2098677678069396943	0 36 46 54 84 96 100 124 210 234 238 250 280 288 298 334	850975638182
SPT(16)	2098677691565869177	0 4 10 22 36 60 106 124 192 210 256 280 294 306 312 316	864472110416