Prime p₀= 2270348844343702559 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 136 2 40 2 106 2 58 2 22 2 88 2 (?)
a_n: 0 2 138 140 180 182 288 290 348 350 372 374 462 464
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: 464
Found by: Landjunge
db: batch=81, k=14, 136 40 106 58 22 88

STPT(10)	2270348151817519127	0 2 54 56 72 74 90 92 144 146	-692526183432
SPT(16)	2270348203573128949	0 18 58 64 72 78 84 90 112 118 124 130 138 144 184 202	-640770573610
SPT(16)	2270348290286400067	0 22 24 30 100 120 130 132 172 174 184 204 274 280 282 304	-554057302492
SPT(16)	2270348328386933651	0 2 6 126 140 150 156 168 260 272 278 288 302 422 426 428	-515956768908
STPT(10)	2270348546717327759	0 2 42 44 90 92 138 140 180 182	-297626374800
STPT(10)	2270348587486859837	0 2 42 44 72 74 102 104 144 146	-256856842722
SPT(16)	2270349160467297929	0 74 104 120 138 140 174 180 182 188 222 224 242 258 288 362	316123595370
STPT(10)	2270349388274476877	0 2 30 32 42 44 54 56 84 86	543930774318
SPT(16)	2270349495530375183	0 36 38 56 126 204 264 276 308 320 380 458 528 546 548 584	651186672624
SPT(13)	2270349556188695263	0 6 60 66 78 126 168 210 258 270 276 330 336	711844992704
STPT(10)	2270349929263855247	0 2 30 32 42 44 54 56 84 86	1084920152688