Prime p₀= 1594319202476978669 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 10 2 238 2 118 2 16 2 16 2 (?)
a_n: 0 2 30 32 42 44 282 284 402 404 420 422 438 440
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: 440
Found by: xii5ku
db: batch=78, k=14, 28 10 238 118 16 16

SPT(18)	1594317429412424491	0 48 60 76 88 102 150 178 186 202 210 238 286 300 312 328 340 388	-1773064554178
SPT(16)	1594317706868844073	0 46 70 76 78 90 106 114 130 138 154 166 168 174 198 244	-1495608134596
SPT(16)	1594317922057064213	0 20 38 48 50 80 104 114 140 150 174 204 206 216 234 254	-1280419914456
STPT(12)	1594318583835841139	0 2 12 14 42 44 48 50 78 80 90 92	-618641137530
STPT(10)	1594318760785534541	0 2 6 8 18 20 30 32 36 38	-441691444128
SPT(16)	1594319091916369771	0 12 36 42 78 88 138 196 222 280 330 340 376 382 406 418	-110560608898
SPT(16)	1594319345531136799	0 18 28 108 144 168 190 210 292 312 334 358 394 474 484 502	143054158130
STPT(10)	1594319784434100539	0 2 12 14 30 32 48 50 60 62	581957121870
SPT(16)	1594319832207215209	0 24 42 94 150 172 204 228 304 328 360 382 438 490 508 532	629730236540
SPT(16)	1594320377033874881	0 56 68 72 110 128 140 152 186 198 210 228 266 270 282 338	1174556896212
STPT(10)	1594320419181939299	0 2 42 44 90 92 138 140 180 182	1216704960630