Prime p₀= 2158898233755730847 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 52 2 4 2 70 2 118 2 58 2 (?)
a_n: 0 2 30 32 84 86 90 92 162 164 282 284 342 344
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: 344
Found by: Landjunge
db: batch=81, k=14, 28 52 4 70 118 58

SPT(16)	2158896575792443093	0 10 34 40 124 126 148 276 358 486 508 510 594 600 624 634	-1657963287754
SPT(16)	2158896666479221271	0 26 78 96 102 122 180 182 306 308 366 386 392 410 462 488	-1567276509576
STPT(10)	2158896692461877867	0 2 42 44 72 74 102 104 144 146	-1541293852980
STPT(10)	2158896830769245561	0 2 36 38 78 80 120 122 156 158	-1402986485286
SPT(16)	2158897111718763553	0 16 34 100 118 156 166 168 196 198 208 246 264 330 348 364	-1122036967294
STPT(10)	2158897986960060881	0 2 96 98 108 110 120 122 216 218	-246795669966
STPT(12)	2158898439253827239	0 2 12 14 42 44 48 50 78 80 90 92	205498096392
SPT(16)	2158898446504257421	0 22 40 42 82 96 162 196 216 250 316 330 370 372 390 412	212748526574
STPT(10)	2158898533921638251	0 2 66 68 138 140 210 212 276 278	300165907404
STPT(10)	2158898772277120631	0 2 6 8 18 20 30 32 36 38	538521389784
STPT(10)	2158899015162293231	0 2 36 38 78 80 120 122 156 158	781406562384