Prime p₀= 1644943381657499681 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 58 2 166 2 10 2 94 2 58 2 (?)
a_n: 0 2 30 32 90 92 258 260 270 272 366 368 426 428
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: 428
Found by: Raspo
db: batch=78, k=14, 28 58 166 10 94 58

SPT(16)	1644942631156549261	0 28 40 70 78 96 120 138 148 166 190 208 216 246 258 286	-750500950420
SPT(16)	1644942631180872811	0 12 58 78 112 142 156 160 168 172 186 216 250 270 316 328	-750476626870
SPT(16)	1644942882094346399	0 12 24 50 120 122 132 222 272 362 372 374 444 470 482 494	-499563153282
STPT(10)	1644942900790862537	0 2 42 44 72 74 102 104 144 146	-480866637144
STPT(10)	1644943155587872109	0 2 12 14 30 32 48 50 60 62	-226069627572
STPT(10)	1644943349650322339	0 2 48 50 60 62 72 74 120 122	-32007177342
SPT(16)	1644943788610529437	0 4 34 70 72 154 202 216 280 294 342 424 426 462 492 496	406953029756
SPT(16)	1644944197344576043	0 18 58 88 90 108 114 160 168 214 220 238 240 270 310 328	815687076362
SPT(16)	1644944526811948997	0 12 20 42 92 140 162 180 182 200 222 270 320 342 350 362	1145154449316
STPT(10)	1644945479135608631	0 2 36 38 78 80 120 122 156 158	2097478108950
SPT(16)	1644945822296502211	0 36 70 82 106 126 148 150 208 210 232 252 276 288 322 358	2440639002530