Prime p₀= 2609053173738698957 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 58 2 154 2 190 2 10 2 4 2 (?)
a_n: 0 2 54 56 114 116 270 272 462 464 474 476 480 482
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: 482
Found by: Orange Kid
db: batch=82, k=14, 52 58 154 190 10 4

SPT(16)	2609051763147274957	0 4 22 30 40 42 70 84 100 114 142 144 154 162 180 184	-1410591424000
STPT(10)	2609051959085547377	0 2 54 56 132 134 210 212 264 266	-1214653151580
STPT(10)	2609052508266489581	0 2 6 8 18 20 30 32 36 38	-665472209376
STPT(10)	2609052828895892549	0 2 18 20 30 32 42 44 60 62	-344842806408
STPT(10)	2609052989753233487	0 2 90 92 102 104 114 116 204 206	-183985465470
STPT(10)	2609053103883846407	0 2 12 14 72 74 132 134 144 146	-69854852550
STPT(10)	2609053234569106649	0 2 18 20 60 62 102 104 120 122	60830407692
SPT(16)	2609053363397811331	0 58 60 72 88 138 162 196 222 256 280 330 346 358 360 418	189659112374
SPT(16)	2609053469738910353	0 8 24 56 60 84 90 108 176 194 200 224 228 260 276 284	296000211396
SPT(16)	2609053884566242723	0 4 16 30 70 84 88 180 184 276 280 294 334 348 360 364	710827543766
SPT(16)	2609054111934451417	0 4 10 34 60 64 66 90 166 190 192 196 222 246 252 256	938195752460