Prime p₀= 2327716077157221011 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 28 2 94 2 28 2 28 2 40 2 (?)
a_n: 0 2 30 32 60 62 156 158 186 188 216 218 258 260
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: 260
Found by: Drago75
db: batch=81, k=14, 28 28 94 28 28 40

SPT(18)	2327714454572521081	0 6 40 46 72 100 118 156 160 168 172 210 228 256 282 288 322 328	-1622584699930
SPT(16)	2327714459145323821	0 16 42 72 82 160 172 226 282 336 348 426 436 466 492 508	-1618011897190
SPT(16)	2327714894724962461	0 6 10 36 88 102 136 138 160 162 196 210 262 288 292 298	-1182432258550
TPT(14)	2327715989045966261	0 2 96 98 138 140 150 152 156 158 198 200 240 242	-88111254750
STPT(10)	2327715999785571149	0 2 18 20 30 32 42 44 60 62	-77371649862
STPT(10)	2327716025658358607	0 2 24 26 42 44 60 62 84 86	-51498862404
STPT(12)	2327716077157221011	0 2 30 32 60 62 156 158 186 188 216 218	0
SPT(16)	2327716082122018031	0 20 26 48 86 140 152 162 266 276 288 342 380 402 408 428	4964797020
SPT(16)	2327716096824541693	0 18 28 40 46 78 90 154 300 364 376 408 414 426 436 454	19667320682
STPT(10)	2327716197712349531	0 2 6 8 48 50 90 92 96 98	120555128520
SPT(16)	2327716336662470737	0 12 22 90 106 174 240 244 252 256 322 390 406 474 484 496	259505249726