Prime p₀= 2689372546364515397 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: [SG-FC] hl
db: batch=82, k=10, 2 10 2 28 2

STPT(10)	2689369800557865167	0 2 30 32 42 44 54 56 84 86	-2745806650230
SPT(16)	2689370200751957017	0 42 94 144 154 210 276 324 352 400 466 522 532 582 634 676	-2345612558380
SPT(16)	2689372135889701039	0 12 18 24 30 60 142 144 358 360 442 472 478 484 490 502	-410474814358
SPT(16)	2689372218262856197	0 52 60 70 82 84 106 144 172 210 232 234 246 256 264 316	-328101659200
SPT(16)	2689372355376229373	0 54 56 60 90 140 158 224 270 336 354 404 434 438 440 494	-190988286024
SPT(16)	2689372423639228469	0 2 20 30 38 72 98 128 162 192 218 252 260 270 288 290	-122725286928
SPT(16)	2689372728018886097	0 62 96 122 140 146 180 194 222 236 270 276 294 320 354 416	181654370700
TPT(14)	2689373010730962341	0 2 60 62 78 80 120 122 366 368 426 428 456 458	464366446944
TPT(14)	2689373068348178789	0 2 12 14 42 44 78 80 132 134 168 170 258 260	521983663392
SPT(16)	2689373542318548739	0 10 30 58 78 150 162 190 240 268 280 352 372 400 420 430	995954033342
SPT(16)	2689373546124166631	0 20 36 42 72 78 122 132 416 426 470 476 506 512 528 548	999759651234