Prime p₀= 2574536234407437239 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: JonS
db: batch=82, k=10, 2 16 2 10 2

STPT(12)	2574534435250488239	0 2 12 14 18 20 42 44 48 50 60 62	-1799156949000
STPT(10)	2574534976694682641	0 2 6 8 48 50 90 92 96 98	-1257712754598
STPT(10)	2574535081644330989	0 2 30 32 60 62 90 92 120 122	-1152763106250
TPT(14)	2574535226612658467	0 2 12 14 42 44 72 74 144 146 174 176 240 242	-1007794778772
TPT(14)	2574535740306696149	0 2 12 14 18 20 42 44 198 200 222 224 282 284	-494100741090
STPT(10)	2574535933629025019	0 2 90 92 210 212 330 332 420 422	-300778412220
STPT(10)	2574536524184659121	0 2 6 8 48 50 90 92 96 98	289777221882
SPT(16)	2574536546903949679	0 22 24 28 52 90 102 108 154 160 172 210 234 238 240 262	312496512440
SPT(16)	2574536776250728537	0 70 132 174 184 210 232 294 322 384 406 432 442 484 546 616	541843291298
SPT(16)	2574536781845159629	0 4 54 60 82 88 112 138 214 240 264 270 292 298 348 352	547437722390
SPT(16)	2574537166167018187	0 36 46 84 160 192 204 256 300 352 364 396 472 510 520 556	931759580948