Prime p₀= 2697459945080963987 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: Dirk Broer
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2697458398355105603	0 8 26 80 116 150 260 296 360 396 506 540 576 630 648 656	-1546725858384
STPT(10)	2697458418371624189	0 2 18 20 60 62 102 104 120 122	-1526709339798
SPT(16)	2697458613250534039	0 48 90 102 118 130 132 168 202 238 240 252 268 280 322 370	-1331830429948
SPT(16)	2697458743199400611	0 2 12 90 116 126 138 170 228 260 272 282 308 386 396 398	-1201881563376
SPT(16)	2697459092287219201	0 82 88 102 160 162 168 186 232 250 256 258 316 330 336 418	-852793744786
SPT(16)	2697459797068616413	0 4 64 84 96 114 124 166 168 210 220 238 250 270 330 334	-148012347574
TPT(14)	2697460401828905357	0 2 54 56 72 74 150 152 162 164 240 242 264 266	456747941370
SPT(16)	2697460430944576289	0 2 14 38 68 108 182 198 224 240 314 354 384 408 420 422	485863612302
SPT(18)	2697461032972802743	0 34 48 84 106 118 124 126 180 184 238 240 246 258 280 316 330 364	1087891838756
STPT(10)	2697461082302673917	0 2 24 26 42 44 60 62 84 86	1137221709930
SPT(16)	2697461301305521211	0 6 26 30 186 198 212 216 362 366 380 392 548 552 572 578	1356224557224