Prime p₀= 2686478176374685307 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: RFGuy_KCCO
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2686477104800713039	0 40 54 82 124 204 232 238 264 270 298 378 420 448 462 502	-1071573972268
SPT(16)	2686477206743263057	0 4 10 22 24 34 40 64 192 216 222 232 234 246 252 256	-969631422250
SPT(16)	2686477341052239157	0 40 66 70 114 124 156 280 306 430 462 472 516 520 546 586	-835322446150
SPT(16)	2686477382390771209	0 22 48 58 60 78 100 102 118 120 142 160 162 172 198 220	-793983914098
STPT(10)	2686477768947627251	0 2 36 38 78 80 120 122 156 158	-407427058056
STPT(10)	2686477779785651567	0 2 42 44 72 74 102 104 144 146	-396589033740
STPT(10)	2686478345356657307	0 2 30 32 42 44 54 56 84 86	168981972000
SPT(16)	2686478382566647633	0 34 54 66 70 220 226 250 354 378 384 534 538 550 570 604	206191962326
SPT(16)	2686478539223946227	0 62 122 200 230 242 252 272 312 332 342 354 384 462 522 584	362849260920
TPT(14)	2686478684409068777	0 2 132 134 174 176 252 254 294 296 312 314 324 326	508034383470
STPT(10)	2686478896789883651	0 2 30 32 78 80 126 128 156 158	720415198344