Prime p₀= 1389472776767177549 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 76 2 58 2 58 2 52 2 64 2 (?)
a_n: 0 2 30 32 108 110 168 170 228 230 282 284 348 350
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: 350
Found by: Theadalus
db: batch=77, k=14, 28 76 58 58 52 64

STPT(12)	1389471421218954257	0 2 42 44 60 62 72 74 90 92 132 134	-1355548223292
TPT(14)	1389472172607620117	0 2 30 32 42 44 90 92 120 122 144 146 162 164	-604159557432
STPT(10)	1389472205524960829	0 2 18 20 30 32 42 44 60 62	-571242216720
SPT(16)	1389472251525416491	0 12 16 88 96 138 166 210 268 312 340 382 390 462 466 478	-525241761058
STPT(10)	1389472322513935571	0 2 6 8 18 20 30 32 36 38	-454253241978
SPT(16)	1389472755281214059	0 24 54 60 80 108 110 192 200 282 284 312 332 338 368 392	-21485963490
STPT(10)	1389472836137716541	0 2 30 32 78 80 126 128 156 158	59370538992
SPT(16)	1389472952172119039	0 12 42 80 92 108 110 134 168 192 194 210 222 260 290 302	175404941490
STPT(10)	1389473263377099707	0 2 42 44 72 74 102 104 144 146	486609922158
SPT(16)	1389473523463923629	0 30 92 168 194 222 320 342 350 372 470 498 524 600 662 692	746696746080
SPT(16)	1389473665796160599	0 20 134 140 158 162 168 174 188 194 200 204 222 228 342 362	889028983050