Prime p₀= 2396980022142647969 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: [SG-2W]Kurzer
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2396977729825564541	0 18 56 68 90 96 140 200 216 276 320 326 348 360 398 416	-2292317083428
STPT(10)	2396978577202928219	0 2 42 44 90 92 138 140 180 182	-1444939719750
STPT(10)	2396978729765646659	0 2 42 44 90 92 138 140 180 182	-1292377001310
SPT(16)	2396978981760386423	0 26 50 54 78 80 158 168 176 186 264 266 290 294 318 344	-1040382261546
STPT(10)	2396979522056682287	0 2 90 92 132 134 174 176 264 266	-500085965682
STPT(10)	2396979522340625639	0 2 18 20 30 32 42 44 60 62	-499802022330
STPT(10)	2396980372893086327	0 2 12 14 42 44 72 74 84 86	350750438358
STPT(10)	2396981040891270707	0 2 30 32 42 44 54 56 84 86	1018748622738
SPT(16)	2396981041802635349	0 8 12 20 42 48 92 102 140 150 194 200 222 230 234 242	1019659987380
TPT(14)	2396982229630522991	0 2 78 80 120 122 210 212 330 332 426 428 468 470	2207487875022
STPT(10)	2396982276012885107	0 2 30 32 42 44 54 56 84 86	2253870237138