Prime p₀= 4504039814768371949 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 94 2 10 2 46 2 52 2 16 2 (?)
a_n: 0 2 12 14 108 110 120 122 168 170 222 224 240 242
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: 242
Found by: Antares2022
db: batch=85, k=14, 10 94 10 46 52 16

SPT(13)	4504036099031191727	0 96 120 156 174 180 210 240 246 264 300 324 420	-3715737180222
TPT(14)	4504036518708551939	0 2 30 32 78 80 102 104 168 170 210 212 270 272	-3296059820010
SPT(16)	4504037379258964537	0 72 126 130 162 250 286 306 316 336 372 460 492 496 550 622	-2435509407412
STPT(10)	4504037639174689739	0 2 12 14 30 32 48 50 60 62	-2175593682210
SPT(16)	4504038111493537741	0 76 82 108 112 132 178 186 202 210 256 276 280 306 312 388	-1703274834208
SPT(13)	4504038216166814609	0 12 60 72 78 102 120 138 162 168 180 228 240	-1598601557340
SPT(16)	4504040059759383947	0 12 86 96 156 212 216 282 350 416 420 476 536 546 620 632	244991011998
STPT(10)	4504040391336548561	0 2 36 38 78 80 120 122 156 158	576568176612
SPT(16)	4504040433370281719	0 42 48 60 102 104 144 188 234 278 318 320 362 374 380 422	618601909770
TPT(14)	4504040500925445869	0 2 30 32 132 134 138 140 198 200 210 212 270 272	686157073920
SPT(16)	4504041751175436377	0 14 32 96 116 120 122 164 222 264 266 270 290 354 372 386	1936407064428