Prime p₀= 1307312471743978751 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 38
Found by: vaughan
db: batch=77, k=10, 2 4 2 10 2

SPT(16)	1307311579168781261	0 38 96 132 140 230 236 252 356 372 378 468 476 512 570 608	-892575197490
SPT(16)	1307311689048491513	0 38 48 60 78 90 98 114 134 150 158 170 188 200 210 248	-782695487238
STPT(10)	1307311865579751761	0 2 36 38 78 80 120 122 156 158	-606164226990
TPT(14)	1307312077660895807	0 2 42 44 72 74 90 92 180 182 210 212 270 272	-394083082944
SPT(16)	1307312207317434433	0 36 48 58 136 294 306 318 376 388 400 558 636 646 658 694	-264426544318
SPT(16)	1307312330533694363	0 8 14 30 74 98 140 194 204 258 300 324 368 384 390 398	-141210284388
SPT(16)	1307312472036845137	0 30 40 84 96 196 204 232 294 322 330 430 442 486 496 526	292866386
SPT(16)	1307312622169996349	0 12 18 20 32 48 62 92 108 138 152 168 180 182 188 200	150426017598
SPT(16)	1307312720345244257	0 54 56 120 134 140 162 204 212 254 276 282 296 360 362 416	248601265506
SPT(16)	1307312872832409731	0 12 30 56 92 96 122 138 140 156 182 186 222 248 266 278	401088430980
SPT(16)	1307312894289527617	0 34 42 46 70 76 90 154 162 226 240 246 270 274 282 316	422545548866