Prime p₀= 2173751012844180821 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: [SG-FC] hl
db: batch=81, k=10, 2 4 2 10 2

SPT(20)	2173749502115887483	0 64 126 186 190 210 240 244 274 280 300 306 336 340 370 390 394 454 516 580	-1510728293338
STPT(10)	2173749601720026131	0 2 6 8 48 50 90 92 96 98	-1411124154690
SPT(16)	2173750024099983361	0 76 106 120 126 138 160 186 190 216 238 250 256 270 300 376	-988744197460
STPT(10)	2173750312369724351	0 2 6 8 48 50 90 92 96 98	-700474456470
TPT(14)	2173750796724617027	0 2 210 212 222 224 240 242 264 266 282 284 324 326	-216119563794
SPT(16)	2173750873276775831	0 26 42 56 68 86 90 98 120 128 132 150 162 176 192 218	-139567404990
TPT(14)	2173751274932124779	0 2 12 14 48 50 78 80 138 140 342 344 348 350	262087943958
SPT(16)	2173751296353693439	0 4 40 82 102 144 154 160 174 180 190 232 252 294 330 334	283509512618
SPT(16)	2173751297469302479	0 4 18 22 42 130 148 174 208 234 252 340 360 364 378 382	284625121658
SPT(16)	2173751396724605029	0 10 24 28 40 48 52 112 120 180 184 192 204 208 222 232	383880424208
STPT(10)	2173751571821393951	0 2 30 32 78 80 126 128 156 158	558977213130