Prime p₀= 870017478140086607 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 82 2 184 2 10 2 16 2 40 2 10 2 (?)
a_n: 0 2 84 86 270 272 282 284 300 302 342 344 354 356
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: 356
Found by: RFGuy_KCCO
db: batch=73, k=14, 82 184 10 16 40 10

SPT(16)	870016869856977949	0 10 22 28 40 52 58 112 150 204 210 222 234 240 252 262	-608283108658
STPT(10)	870016963748703599	0 2 12 14 90 92 168 170 180 182	-514391383008
TPT(14)	870016990154599799	0 2 12 14 30 32 42 44 72 74 108 110 150 152	-487985486808
STPT(10)	870017308968135239	0 2 18 20 30 32 42 44 60 62	-169171951368
SPT(16)	870017349545546549	0 42 62 68 74 132 144 174 188 218 230 288 294 300 320 362	-128594540058
SPT(16)	870017405125820801	0 2 20 38 50 62 78 90 170 182 198 210 222 240 258 260	-73014265806
SPT(16)	870017518169286583	0 4 6 18 28 46 66 76 78 88 108 126 136 148 150 154	40029199976
TPT(14)	870017575423804259	0 2 18 20 240 242 258 260 270 272 282 284 312 314	97283717652
SPT(16)	870017765801284109	0 42 50 72 84 120 182 204 338 360 422 458 470 492 500 542	287661197502
TPT(14)	870017928298178969	0 2 12 14 72 74 78 80 138 140 180 182 240 242	450158092362
STPT(10)	870017949997962131	0 2 36 38 78 80 120 122 156 158	471857875524