Prime p₀= 2899703515166197697 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

SPT(16)	2899702973297506451	0 6 98 102 126 140 150 186 392 428 438 452 476 480 572 578	-541868691246
STPT(10)	2899703027422330247	0 2 24 26 42 44 60 62 84 86	-487743867450
SPT(16)	2899703167389655969	0 12 28 60 88 90 102 108 154 160 172 174 202 234 250 262	-347776541728
SPT(16)	2899703169855190627	0 22 64 82 84 90 102 120 136 154 166 172 174 192 234 256	-345311007070
TPT(14)	2899703232009750209	0 2 138 140 162 164 168 170 192 194 198 200 288 290	-283156447488
SPT(18)	2899703280065229293	0 14 36 68 96 110 146 188 200 204 216 258 294 308 336 368 390 404	-235100968404
SPT(16)	2899703852689422787	0 16 22 24 46 54 60 82 84 106 112 120 142 144 150 166	337523225090
TPT(14)	2899703899556808137	0 2 54 56 162 164 180 182 204 206 264 266 294 296	384390610440
SPT(16)	2899703917243147253	0 24 30 38 50 78 98 210 248 360 380 408 420 428 434 458	402076949556
STPT(10)	2899703926608262691	0 2 30 32 78 80 126 128 156 158	411442064994
SPT(16)	2899704400804107971	0 8 42 92 98 128 170 180 200 210 252 282 288 338 372 380	885637910274