Prime p₀= 1222592076899465801 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 118 2 100 2 28 2 34 2 40 2 (?)
a_n: 0 2 48 50 168 170 270 272 300 302 336 338 378 380
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: 380
Found by: Megacruncher
db: batch=77, k=14, 46 118 100 28 34 40

SPT(16)	1222591086992731861	0 40 42 48 58 96 100 118 150 168 172 210 220 226 228 268	-989906733940
STPT(12)	1222591215725976869	0 2 12 14 42 44 48 50 78 80 90 92	-861173488932
SPT(16)	1222591228631455519	0 28 40 58 82 132 154 184 198 228 250 300 324 342 354 382	-848268010282
STPT(10)	1222591301616402239	0 2 18 20 30 32 42 44 60 62	-775283063562
TPT(14)	1222591694223364601	0 2 6 8 36 38 66 68 78 80 90 92 108 110	-382676101200
STPT(10)	1222591826666489099	0 2 42 44 60 62 78 80 120 122	-250232976702
SPT(16)	1222592512508039111	0 18 20 36 116 138 152 168 200 216 230 252 332 348 350 368	435608573310
SPT(16)	1222592522443209301	0 60 66 90 132 142 150 208 270 328 336 346 388 412 418 478	445543743500
SPT(16)	1222593017539016317	0 24 42 94 102 124 162 232 252 322 360 382 390 442 460 484	940639550516
STPT(10)	1222593059131555751	0 2 6 8 48 50 90 92 96 98	982232089950
SPT(16)	1222593264713919047	0 6 26 32 96 102 104 110 126 132 134 140 204 210 230 236	1187814453246