Prime p₀= 2391571272002669891 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 4 2 100 2 40 2 16 2 46 2 (?)
a_n: 0 2 30 32 36 38 138 140 180 182 198 200 246 248
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: 248
Found by: conf [MM]
db: batch=81, k=14, 28 4 100 40 16 46

SPT(16)	2391568427309350403	0 24 36 50 74 78 80 168 206 294 296 300 324 338 350 374	-2844693319488
TPT(14)	2391568590643560917	0 2 12 14 42 44 84 86 114 116 180 182 210 212	-2681359108974
SPT(16)	2391569088908491321	0 100 120 168 172 208 222 238 282 298 312 348 352 400 420 520	-2183094178570
STPT(10)	2391569447106942911	0 2 6 8 48 50 90 92 96 98	-1824895726980
SPT(16)	2391570095299712599	0 30 34 42 52 84 154 220 282 348 418 450 460 468 472 502	-1176702957292
SPT(16)	2391570117812251819	0 22 48 112 132 150 178 198 322 342 370 388 408 472 498 520	-1154190418072
TPT(14)	2391571490745391439	0 2 60 62 90 92 102 104 198 200 312 314 330 332	218742721548
STPT(10)	2391571577401470221	0 2 6 8 18 20 30 32 36 38	305398800330
SPT(16)	2391572219896061677	0 12 30 34 40 114 150 154 180 184 220 294 300 304 322 334	947893391786
SPT(16)	2391572787074265037	0 24 42 52 64 66 70 94 102 126 130 132 144 154 172 196	1515071595146
SPT(16)	2391572881095810697	0 42 60 76 82 106 112 220 372 480 486 510 516 532 550 592	1609093140806