Prime p₀= 2101316900359533581 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 130 2 34 2 52 2 64 2 82 2 (?)
a_n: 0 2 48 50 180 182 216 218 270 272 336 338 420 422
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: 422
Found by: [SG-2W]Kurzer
db: batch=80, k=14, 46 130 34 52 64 82

SPT(16)	2101315909167691589	0 24 48 80 104 150 170 228 230 288 308 354 378 410 434 458	-991191841992
SPT(16)	2101316422664062561	0 28 48 52 60 66 112 130 198 216 262 268 276 280 300 328	-477695471020
SPT(18)	2101316477798452367	0 26 32 56 92 110 126 186 192 194 200 260 276 294 330 354 360 386	-422561081214
SPT(16)	2101316505742263013	0 10 24 46 70 210 234 294 376 436 460 600 624 646 660 670	-394617270568
SPT(16)	2101316717202998377	0 24 60 96 112 190 216 232 234 250 276 354 370 406 442 466	-183156535204
SPT(16)	2101316754006355499	0 8 48 74 98 104 110 120 122 132 138 144 168 194 234 242	-146353178082
SPT(20)	2101317376665351553	0 34 64 126 150 156 274 294 340 346 378 384 430 450 568 574 598 660 690 724	476305817972
STPT(10)	2101317610419259457	0 2 30 32 42 44 54 56 84 86	710059725876
STPT(10)	2101317660776736299	0 2 42 44 60 62 78 80 120 122	760417202718
STPT(10)	2101317774719996381	0 2 6 8 48 50 90 92 96 98	874360462800
SPT(16)	2101318321442033371	0 12 28 46 88 126 156 198 250 292 322 360 402 420 436 448	1421082499790