Prime p₀= 2827270229081514737 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 160 2 16 2 22 2 4 2 22 2 28 2 (?)
a_n: 0 2 162 164 180 182 204 206 210 212 234 236 264 266
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: 266
Found by: Coleslaw
db: batch=82, k=14, 160 16 22 4 22 28

SPT(16)	2827269663401348149	0 4 34 48 64 78 84 90 118 124 130 144 160 174 204 208	-565680166588
STPT(10)	2827269717594993257	0 2 30 32 72 74 114 116 144 146	-511486521480
STPT(10)	2827269727417953149	0 2 12 14 90 92 168 170 180 182	-501663561588
STPT(10)	2827269882047245277	0 2 30 32 42 44 54 56 84 86	-347034269460
SPT(16)	2827269910951379401	0 28 60 88 102 106 172 252 286 366 432 436 450 478 510 538	-318130135336
STPT(10)	2827270131329647037	0 2 60 62 72 74 84 86 144 146	-97751867700
SPT(16)	2827270847593980533	0 48 54 56 140 144 146 194 210 258 260 264 348 350 356 404	618512465796
STPT(10)	2827271100314901209	0 2 48 50 90 92 132 134 180 182	871233386472
STPT(10)	2827271370210245009	0 2 18 20 60 62 102 104 120 122	1141128730272
SPT(16)	2827272293604195659	0 14 18 50 54 78 104 110 132 138 164 188 192 224 228 242	2064522680922
SPT(16)	2827272528153221017	0 24 60 114 160 192 202 234 280 312 322 354 400 454 490 514	2299071706280