Prime p₀= 2373499803195000437 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: Landjunge
db: batch=81, k=10, 2 10 2 28 2

SPT(16)	2373498732271422017	0 44 54 86 96 146 224 230 246 252 330 380 390 422 432 476	-1070923578420
SPT(16)	2373499088784199351	0 6 42 82 108 150 166 178 180 192 208 250 276 316 352 358	-714410801086
SPT(16)	2373499195905834859	0 22 48 52 150 172 192 244 288 340 360 382 480 484 510 532	-607289165578
TPT(14)	2373499307859662657	0 2 24 26 54 56 132 134 162 164 234 236 264 266	-495335337780
SPT(16)	2373499423078526453	0 36 68 78 110 126 168 198 266 296 338 354 386 396 428 464	-380116473984
STPT(10)	2373499775515383167	0 2 42 44 102 104 162 164 204 206	-27679617270
SPT(16)	2373500306496149839	0 10 12 28 52 72 78 88 162 172 178 198 222 238 240 250	503301149402
SPT(16)	2373500327405448053	0 14 30 54 74 134 140 158 180 198 204 264 284 308 324 338	524210447616
SPT(16)	2373500765824201309	0 22 30 90 108 114 168 174 178 184 238 244 262 322 330 352	962629200872
STPT(10)	2373500771676470297	0 2 30 32 120 122 210 212 240 242	968481469860
STPT(10)	2373500777555411501	0 2 6 8 48 50 90 92 96 98	974360411064