Prime p₀= 2968543789128373499 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 106 2 28 2 82 2 124 2 28 2 10 2 (?)
a_n: 0 2 108 110 138 140 222 224 348 350 378 380 390 392
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: 392
Found by: [SG-FC] hl
db: batch=82, k=14, 106 28 82 124 28 10

SPT(16)	2968541984085744277	0 16 60 72 82 84 100 102 274 276 292 294 304 316 360 376	-1805042629222
STPT(10)	2968542625202671301	0 2 36 38 78 80 120 122 156 158	-1163925702198
STPT(10)	2968542779789205467	0 2 30 32 60 62 90 92 120 122	-1009339168032
STPT(10)	2968542875118811979	0 2 18 20 30 32 42 44 60 62	-914009561520
TPT(14)	2968543165673364281	0 2 6 8 30 32 60 62 90 92 168 170 210 212	-623455009218
SPT(16)	2968543695275217287	0 26 62 116 182 236 252 264 302 314 330 384 450 504 540 566	-93853156212
SPT(16)	2968543864114212899	0 42 60 62 74 78 114 132 140 158 194 198 210 212 230 272	74985839400
STPT(10)	2968543876207422167	0 2 54 56 72 74 90 92 144 146	87079048668
STPT(10)	2968544038703434307	0 2 30 32 42 44 54 56 84 86	249575060808
STPT(10)	2968545198349580789	0 2 30 32 60 62 90 92 120 122	1409221207290
SPT(16)	2968545605268962549	0 20 32 54 102 152 174 234 260 320 342 392 440 462 474 494	1816140589050