Prime p₀= 1829971829992920791 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 22 2 94 2 10 2 40 2 58 2 (?)
a_n: 0 2 36 38 60 62 156 158 168 170 210 212 270 272
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: 272
Found by: ClaudiusD
db: batch=79, k=14, 34 22 94 10 40 58

STPT(10)	1829970707112712469	0 2 42 44 90 92 138 140 180 182	-1122880208322
SPT(16)	1829970810227407483	0 48 54 130 150 154 220 256 258 294 360 364 384 460 466 514	-1019765513308
SPT(16)	1829971016211172711	0 6 60 66 106 120 126 136 396 406 412 426 466 472 526 532	-813781748080
STPT(10)	1829971276049085311	0 2 6 8 18 20 30 32 36 38	-553943835480
SPT(16)	1829971417337652157	0 30 46 60 126 150 174 184 186 196 220 244 310 324 340 370	-412655268634
SPT(16)	1829971663010101811	0 30 48 68 90 98 146 156 200 210 258 266 288 308 326 356	-166982818980
STPT(10)	1829972067518052719	0 2 48 50 60 62 72 74 120 122	237525131928
STPT(10)	1829972127148478141	0 2 6 8 48 50 90 92 96 98	297155557350
SPT(16)	1829972481981425953	0 40 58 64 84 108 150 160 198 208 250 274 294 300 318 358	651988505162
SPT(16)	1829973153175702783	0 66 76 78 94 100 108 124 150 166 174 180 196 198 208 274	1323182781992
SPT(16)	1829973845652160157	0 24 32 104 122 146 162 164 312 314 330 354 372 444 452 476	2015659239366