Prime p₀= 2343206247616754519 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: Landjunge
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2343204653851021913	0 56 60 66 134 186 194 198 206 210 218 270 338 344 348 404	-1593765732606
STPT(10)	2343205280870664167	0 2 60 62 72 74 84 86 144 146	-966746090352
STPT(10)	2343205503988535267	0 2 54 56 72 74 90 92 144 146	-743628219252
STPT(10)	2343205518079951079	0 2 18 20 60 62 102 104 120 122	-729536803440
SPT(16)	2343205980224176541	0 48 78 102 132 182 188 288 290 390 396 446 476 500 530 578	-267392577978
SPT(16)	2343206007738113131	0 18 42 52 70 108 118 130 168 180 190 228 246 256 280 298	-239878641388
STPT(10)	2343206911552525589	0 2 18 20 30 32 42 44 60 62	663935771070
SPT(16)	2343207109839331663	0 70 114 120 154 166 198 226 228 256 288 300 334 340 384 454	862222577144
STPT(10)	2343207232698754061	0 2 6 8 48 50 90 92 96 98	985081999542
STPT(12)	2343207284514953027	0 2 12 14 42 44 90 92 120 122 132 134	1036898198508
SPT(16)	2343207398680458649	0 28 30 94 100 108 124 160 198 234 250 258 264 328 330 358	1151063704130