Prime p₀= 2857772090322762791 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 10 2 40 2 46 2 28 2 10 2 (?)
a_n: 0 2 36 38 48 50 90 92 138 140 168 170 180 182
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: 182
Found by: JayPi
db: batch=82, k=14, 34 10 40 46 28 10

STPT(10)	2857770444186252347	0 2 30 32 42 44 54 56 84 86	-1646136510444
SPT(16)	2857770597564336869	0 8 24 42 48 50 62 150 182 270 282 284 290 308 324 332	-1492758425922
SPT(16)	2857770793253968859	0 18 38 78 92 98 114 120 122 128 144 150 164 204 224 242	-1297068793932
STPT(12)	2857770903783329267	0 2 24 26 30 32 54 56 60 62 84 86	-1186539433524
SPT(16)	2857771133105263757	0 12 44 54 56 90 104 126 200 222 236 270 272 282 314 326	-957217499034
SPT(16)	2857771237055403961	0 6 28 70 88 102 168 178 210 220 286 300 318 360 382 388	-853267358830
STPT(10)	2857772360371510319	0 2 12 14 90 92 168 170 180 182	270048747528
SPT(16)	2857772425495738979	0 18 20 44 62 74 78 114 158 194 198 210 228 252 254 272	335172976188
SPT(16)	2857772593906431277	0 16 30 60 70 90 96 154 156 214 220 240 250 280 294 310	503583668486
STPT(10)	2857772713225702157	0 2 54 56 72 74 90 92 144 146	622902939366
SPT(16)	2857772909394354719	0 78 80 104 122 150 152 188 264 300 302 330 348 372 374 452	819071591928