Prime p₀= 2638395907203584597 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: biodoc
db: batch=82, k=10, 2 22 2 16 2

TPT(14)	2638394378980199207	0 2 42 44 90 92 174 176 240 242 252 254 294 296	-1528223385390
SPT(16)	2638394607021647137	0 24 30 46 60 66 100 112 114 126 160 166 180 196 202 226	-1300181937460
SPT(16)	2638394818629236203	0 10 34 36 64 120 160 166 174 180 220 276 304 306 330 340	-1088574348394
SPT(16)	2638394824154578717	0 16 34 42 70 82 126 130 156 160 204 216 244 252 270 286	-1083049005880
STPT(10)	2638394850610450247	0 2 30 32 42 44 54 56 84 86	-1056593134350
SPT(16)	2638395370473546209	0 18 78 80 84 92 158 168 194 204 270 278 282 284 344 362	-536730038388
STPT(10)	2638396183383301181	0 2 36 38 78 80 120 122 156 158	276179716584
STPT(10)	2638396413626214959	0 2 12 14 90 92 168 170 180 182	506422630362
SPT(18)	2638396602009424133	0 14 48 140 150 170 174 254 276 278 300 380 384 404 414 506 540 554	694805839536
TPT(14)	2638396713012430607	0 2 144 146 222 224 282 284 402 404 420 422 474 476	805808846010
STPT(10)	2638396765245256199	0 2 18 20 30 32 42 44 60 62	858041671602