Prime p₀= 2687978004404534507 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: Groo
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2687976119421338881	0 6 28 70 72 88 132 156 172 196 240 256 258 300 322 328	-1884983195626
STPT(10)	2687976490219833647	0 2 42 44 102 104 162 164 204 206	-1514184700860
STPT(10)	2687976883724586869	0 2 18 20 30 32 42 44 60 62	-1120679947638
STPT(10)	2687977317822251627	0 2 12 14 42 44 72 74 84 86	-686582282880
TPT(14)	2687977333156128701	0 2 6 8 30 32 156 158 186 188 228 230 240 242	-671248405806
STPT(10)	2687977906082036429	0 2 42 44 120 122 198 200 240 242	-98322498078
STPT(10)	2687978754414285107	0 2 12 14 42 44 72 74 84 86	750009750600
SPT(16)	2687979116818339313	0 6 14 54 60 78 134 146 168 180 236 254 260 300 308 314	1112413804806
SPT(18)	2687979290053369531	0 16 36 70 130 186 190 228 240 268 280 318 322 378 438 472 492 508	1285648835024
SPT(16)	2687979369992110231	0 16 30 42 48 60 118 162 196 240 298 310 316 328 342 358	1365587575724
SPT(16)	2687979697054491923	0 14 44 48 66 68 96 98 156 158 186 188 206 210 240 254	1692649957416