Prime p₀= 2507831433688140797 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: Hightower
db: batch=82, k=10, 2 10 2 28 2

STPT(10)	2507829659791682951	0 2 6 8 48 50 90 92 96 98	-1773896457846
SPT(16)	2507829680536905199	0 48 54 70 100 114 124 150 202 228 238 252 282 298 304 352	-1753151235598
STPT(10)	2507829986595919157	0 2 30 32 42 44 54 56 84 86	-1447092221640
SPT(16)	2507830253432603591	0 32 50 66 72 182 200 206 246 252 270 380 386 402 420 452	-1180255537206
SPT(16)	2507830850426570303	0 8 26 56 84 108 120 140 144 164 176 200 228 258 276 284	-583261570494
SPT(16)	2507831302116249959	0 54 72 92 98 110 128 134 168 174 192 204 210 230 248 302	-131571890838
SPT(16)	2507831515637507971	0 6 52 72 132 162 192 196 282 286 316 346 406 426 472 478	81949367174
SPT(16)	2507832253169096597	0 24 86 104 122 146 174 252 254 332 360 384 402 420 482 506	819480955800
SPT(16)	2507832560065303633	0 4 16 64 66 148 154 156 178 180 186 268 270 318 330 334	1126377162836
STPT(12)	2507832807518148137	0 2 42 44 54 56 240 242 252 254 294 296	1373830007340
SPT(16)	2507833259786292457	0 22 34 52 60 70 82 84 130 132 144 154 162 180 192 214	1826098151660