Prime p₀= 2101672649602200509 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 82 2 34 2 28 2 28 2 10 2 (?)
a_n: 0 2 48 50 132 134 168 170 198 200 228 230 240 242
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: 242
Found by: Landjunge
db: batch=80, k=14, 46 82 34 28 28 10

SPT(16)	2101670711322470383	0 18 34 36 148 156 160 214 240 294 298 306 418 420 436 454	-1938279730126
SPT(16)	2101670804858109481	0 22 40 100 142 162 168 196 252 280 286 306 348 408 426 448	-1844744091028
SPT(16)	2101670949361824671	0 26 98 110 116 152 186 288 290 392 426 462 468 480 552 578	-1700240375838
SPT(16)	2101671206022747839	0 12 42 60 68 74 90 102 140 152 168 174 182 200 230 242	-1443579452670
SPT(16)	2101671845750570579	0 2 14 30 72 78 98 122 180 204 224 230 272 288 300 302	-803851629930
SPT(16)	2101672471996254191	0 30 80 102 110 116 146 150 272 276 306 312 320 342 392 422	-177605946318
STPT(10)	2101672662842771279	0 2 18 20 30 32 42 44 60 62	13240570770
STPT(10)	2101672878757502747	0 2 30 32 72 74 114 116 144 146	229155302238
SPT(16)	2101674079976414183	0 6 8 18 36 66 80 84 140 144 158 188 206 216 218 224	1430374213674
STPT(10)	2101674239698692467	0 2 30 32 42 44 54 56 84 86	1590096491958
STPT(10)	2101674653815110761	0 2 30 32 78 80 126 128 156 158	2004212910252