Prime p₀= 2631651787663242959 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: [AF>Le_Pommier] Jerome_C2005
db: batch=82, k=10, 2 16 2 10 2

TPT(14)	2631649804223805581	0 2 30 32 126 128 138 140 210 212 228 230 240 242	-1983439437378
STPT(10)	2631650150192091527	0 2 42 44 72 74 102 104 144 146	-1637471151432
SPT(16)	2631650495911073701	0 16 58 60 70 78 82 100 168 186 190 198 208 210 252 268	-1291752169258
TPT(14)	2631650907510925379	0 2 30 32 120 122 330 332 408 410 468 470 498 500	-880152317580
SPT(16)	2631651378420790631	0 8 42 50 68 96 110 122 126 138 152 180 198 206 240 248	-409242452328
STPT(10)	2631651588194017559	0 2 18 20 30 32 42 44 60 62	-199469225400
SPT(16)	2631651817614093941	0 6 8 72 80 120 122 150 188 216 218 258 266 330 332 338	29950850982
STPT(10)	2631652460715403127	0 2 30 32 60 62 90 92 120 122	673052160168
SPT(16)	2631652529666112311	0 32 36 42 78 80 132 146 162 176 228 230 266 272 276 308	742002869352
STPT(10)	2631652572351488207	0 2 30 32 42 44 54 56 84 86	784688245248
SPT(16)	2631653060150375299	0 10 22 24 52 70 78 120 142 184 192 210 238 240 252 262	1272487132340