Prime p₀= 2563432660544388359 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 130 2 16 2 58 2 10 2 64 2 (?)
a_n: 0 2 60 62 192 194 210 212 270 272 282 284 348 350
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: 350
Found by: [SG-FC] hl
db: batch=82, k=14, 58 130 16 58 10 64

SPT(16)	2563431415941734917	0 40 42 66 82 94 216 222 274 280 402 414 430 454 456 496	-1244602653442
SPT(16)	2563431577774881383	0 20 38 114 140 164 176 264 290 378 390 414 440 516 534 554	-1082769506976
STPT(10)	2563431765358777121	0 2 6 8 48 50 90 92 96 98	-895185611238
SPT(16)	2563432020020892731	0 8 36 50 60 110 132 138 140 146 168 218 228 242 270 278	-640523495628
SPT(16)	2563432090803835241	0 20 30 56 96 170 176 228 338 390 396 470 510 536 546 566	-569740553118
TPT(14)	2563432176186495869	0 2 12 14 48 50 78 80 138 140 192 194 258 260	-484357892490
SPT(16)	2563433156493741349	0 42 58 72 142 154 168 174 208 214 228 240 310 324 340 382	495949352990
SPT(16)	2563433304543486173	0 8 54 66 80 84 116 120 284 288 320 324 338 350 396 404	643999097814
TPT(14)	2563433527216032377	0 2 30 32 60 62 84 86 102 104 210 212 240 242	866671644018
TPT(14)	2563434126747403409	0 2 78 80 108 110 120 122 192 194 222 224 258 260	1466203015050
TPT(14)	2563434196606125587	0 2 132 134 174 176 264 266 330 332 402 404 414 416	1536061737228