Prime p₀= 2488816556283368417 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: Coleslaw
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2488816029958321499	0 14 30 42 44 62 78 90 122 134 150 168 170 182 198 212	-526325046918
STPT(10)	2488816103289869201	0 2 36 38 78 80 120 122 156 158	-452993499216
STPT(10)	2488816104791599859	0 2 48 50 90 92 132 134 180 182	-451491768558
STPT(10)	2488816130853236531	0 2 6 8 48 50 90 92 96 98	-425430131886
SPT(16)	2488816317469564529	0 102 104 132 152 194 222 240 254 272 300 342 362 390 392 494	-238813803888
SPT(16)	2488816359034831123	0 78 96 124 126 160 166 174 190 198 204 238 240 268 286 364	-197248537294
SPT(16)	2488816695812284627	0 10 132 136 154 166 180 184 252 256 270 282 300 304 426 436	139528916210
SPT(16)	2488816772041046737	0 6 10 42 52 72 76 96 136 156 160 180 190 222 226 232	215757678320
SPT(16)	2488816950111373769	0 18 32 72 132 150 174 200 222 248 272 290 350 390 404 422	393828005352
STPT(10)	2488817827275749111	0 2 6 8 18 20 30 32 36 38	1270992380694
TPT(14)	2488817955211076381	0 2 6 8 48 50 60 62 126 128 228 230 270 272	1398927707964