Prime p₀= 2486789724095038457 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: JayPi
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2486788061342677009	0 58 88 102 130 144 162 172 180 190 208 222 250 264 294 352	-1662752361448
STPT(10)	2486788324024427921	0 2 36 38 78 80 120 122 156 158	-1400070610536
STPT(10)	2486788863272624879	0 2 42 44 90 92 138 140 180 182	-860822413578
STPT(10)	2486788883933309897	0 2 30 32 42 44 54 56 84 86	-840161728560
SPT(16)	2486788982777111021	0 18 32 42 122 192 198 248 330 380 386 456 536 546 560 578	-741317927436
STPT(10)	2486789086901511989	0 2 18 20 60 62 102 104 120 122	-637193526468
TPT(14)	2486789932821492689	0 2 18 20 30 32 72 74 138 140 228 230 312 314	208726454232
TPT(14)	2486790089952839519	0 2 90 92 102 104 168 170 258 260 270 272 300 302	365857801062
SPT(16)	2486790240815013257	0 12 80 90 92 120 132 150 164 182 194 222 224 234 302 314	516719974800
STPT(10)	2486790245942813519	0 2 42 44 60 62 78 80 120 122	521847775062
SPT(16)	2486790332357064161	0 8 32 38 42 50 98 128 150 180 228 236 240 246 270 278	608262025704