Prime p₀= 2568571507011362681 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 40 2 40 2 4 2 (?)
a_n: 0 2 6 8 48 50 90 92 96 98
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: 98
Found by: [SG-FC] hl
db: batch=82, k=10, 2 4 2 40 2

SPT(16)	2568570320358879227	0 2 14 20 54 56 96 144 152 200 240 242 276 282 294 296	-1186652483454
SPT(16)	2568570327954536119	0 40 100 144 148 162 172 174 238 240 250 264 268 312 372 412	-1179056826562
STPT(10)	2568570550269299699	0 2 12 14 30 32 48 50 60 62	-956742062982
STPT(10)	2568571090675710221	0 2 6 8 48 50 90 92 96 98	-416335652460
STPT(10)	2568571263762277619	0 2 18 20 30 32 42 44 60 62	-243249085062
STPT(10)	2568571414511567711	0 2 36 38 138 140 240 242 276 278	-92499794970
TPT(14)	2568571703599424681	0 2 30 32 96 98 186 188 198 200 270 272 306 308	196588062000
TPT(14)	2568572154497882339	0 2 48 50 72 74 78 80 198 200 300 302 372 374	647486519658
STPT(10)	2568572277160665239	0 2 48 50 60 62 72 74 120 122	770149302558
SPT(16)	2568573383629657709	0 30 32 42 50 54 84 114 158 188 218 222 230 240 242 272	1876618295028
STPT(10)	2568573508654952681	0 2 36 38 78 80 120 122 156 158	2001643590000