Prime p₀= 2512825840360539017 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 238 2 10 2 10 2 238 2 (?)
a_n: 0 2 240 242 252 254 264 266 504 506
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: 506
Found by: Penguin
db: batch=82, k=10, 2 238 2 10 2

TPT(14)	2512825106171695877	0 2 42 44 300 302 552 554 564 566 594 596 630 632	-734188843140
SPT(16)	2512825464082926259	0 18 70 72 82 88 108 204 298 394 414 420 430 432 484 502	-376277612758
STPT(10)	2512825522674018449	0 2 18 20 60 62 102 104 120 122	-317686520568
STPT(10)	2512825524585729839	0 2 12 14 90 92 168 170 180 182	-315774809178
SPT(16)	2512825560509532157	0 16 22 30 42 120 184 186 190 192 256 334 346 354 360 376	-279851006860
SPT(16)	2512825759520762003	0 26 48 50 86 180 236 240 314 318 374 468 504 506 528 554	-80839777014
STPT(12)	2512825852437668231	0 2 36 38 48 50 78 80 90 92 126 128	12077129214
SPT(16)	2512826442893972371	0 48 106 112 118 160 162 202 216 256 258 300 306 312 370 418	602533433354
SPT(16)	2512826857513560359	0 14 18 38 44 78 104 114 134 144 170 204 210 230 234 248	1017153021342
SPT(16)	2512827117953795893	0 6 40 60 90 118 150 204 220 274 306 334 364 384 418 424	1277593256876
SPT(16)	2512827122421197941	0 28 52 78 100 108 118 130 258 270 280 288 310 336 360 388	1282060658924