Prime p₀= 2103796479013685969 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 100 2 28 2 34 2 58 2 40 2 (?)
a_n: 0 2 30 32 132 134 162 164 198 200 258 260 300 302
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: 302
Found by: Landjunge
db: batch=80, k=14, 28 100 28 34 58 40

SPT(16)	2103794882682017143	0 54 58 66 90 124 156 166 168 178 210 244 268 276 280 334	-1596331668826
STPT(10)	2103794929130483747	0 2 30 32 72 74 114 116 144 146	-1549883202222
SPT(16)	2103795043829216821	0 70 72 96 118 208 270 298 420 448 510 600 622 646 648 718	-1435184469148
SPT(16)	2103795285465714353	0 44 60 80 140 200 216 230 270 284 300 360 420 440 456 500	-1193547971616
SPT(16)	2103795596611085401	0 6 10 48 82 136 150 168 190 208 222 276 310 348 352 358	-882402600568
SPT(16)	2103795733004404559	0 8 24 32 98 102 134 164 198 228 260 264 330 338 354 362	-746009281410
SPT(16)	2103796512335210507	0 6 20 26 36 50 152 174 182 204 306 320 330 336 350 356	33321524538
SPT(16)	2103796688848880041	0 22 60 70 78 130 190 198 232 240 300 352 360 370 408 430	209835194072
SPT(16)	2103796800072724291	0 6 12 22 30 42 156 162 286 292 406 418 426 436 442 448	321059038322
SPT(16)	2103797265156217909	0 10 28 64 78 102 130 204 238 312 340 364 378 414 432 442	786142531940
STPT(10)	2103797660235504197	0 2 30 32 42 44 54 56 84 86	1181221818228