Prime p₀= 2509176642117413249 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: Hightower
db: batch=82, k=10, 2 40 2 16 2

SPT(16)	2509175336815786427	0 24 90 110 144 162 174 180 314 320 332 350 384 404 470 494	-1305301626822
SPT(16)	2509175398140443569	0 4 12 28 54 60 94 118 144 168 202 208 234 250 258 262	-1243976969680
STPT(10)	2509175878352055959	0 2 48 50 90 92 132 134 180 182	-763765357290
STPT(10)	2509176002339090597	0 2 60 62 102 104 144 146 204 206	-639778322652
SPT(16)	2509176025381448023	0 28 90 100 130 178 210 216 220 226 258 306 336 346 408 436	-616735965226
SPT(16)	2509176470765527333	0 36 40 78 108 130 148 154 390 396 414 436 466 504 508 544	-171351885916
SPT(16)	2509177175879136227	0 2 50 90 122 126 170 192 194 216 260 264 296 336 384 386	533761722978
TPT(14)	2509177880832663449	0 2 78 80 120 122 132 134 138 140 168 170 288 290	1238715250200
SPT(16)	2509178136569604667	0 24 52 94 102 112 154 214 222 282 324 334 342 384 412 436	1494452191418
SPT(16)	2509178183647951843	0 10 16 46 118 126 136 208 228 300 310 318 390 420 426 436	1541530538594
STPT(10)	2509178352981056969	0 2 18 20 60 62 102 104 120 122	1710863643720