Prime p₀= 2506472537087134487 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 76 2 76 2 52 2 (?)
a_n: 0 2 54 56 132 134 210 212 264 266
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: 266
Found by: eclipse99
db: batch=82, k=10, 2 52 2 76 2

SPT(16)	2506470523263506281	0 6 28 40 58 66 72 96 172 196 202 210 228 240 262 268	-2013823628206
TPT(14)	2506470864147259811	0 2 48 50 138 140 168 170 198 200 216 218 240 242	-1672939874676
SPT(16)	2506470925294371929	0 32 60 98 158 180 188 210 290 312 320 342 402 440 468 500	-1611792762558
SPT(16)	2506471072208746711	0 12 18 28 112 136 138 172 216 250 252 276 360 370 376 388	-1464878387776
TPT(14)	2506471493484674369	0 2 12 14 78 80 90 92 258 260 390 392 420 422	-1043602460118
SPT(16)	2506471824617640773	0 14 78 80 168 204 234 246 248 260 290 326 414 416 480 494	-712469493714
STPT(10)	2506472956787122637	0 2 12 14 42 44 72 74 84 86	419699988150
SPT(16)	2506472970596348597	0 6 12 26 30 50 104 114 152 162 216 236 240 254 260 266	433509214110
STPT(12)	2506472986584128741	0 2 60 62 90 92 126 128 156 158 216 218	449496994254
SPT(16)	2506473285844020517	0 6 10 36 70 120 136 162 190 216 232 282 316 342 346 352	748756886030
SPT(16)	2506473608574110947	0 22 30 46 102 160 162 186 256 280 282 340 396 412 420 442	1071486976460