Prime p₀= 1365001046594315927 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: HenkM
db: batch=77, k=10, 2 22 2 16 2

SPT(16)	1364999276802174697	0 22 36 66 84 90 106 112 144 150 166 172 190 220 234 256	-1769792141230
STPT(10)	1364999413208820197	0 2 12 14 42 44 72 74 84 86	-1633385495730
SPT(16)	1364999441292489083	0 26 98 120 138 158 236 278 288 330 408 428 446 468 540 566	-1605301826844
SPT(16)	1364999505491863639	0 4 58 88 112 124 142 144 178 180 198 210 234 264 318 322	-1541102452288
SPT(16)	1364999589909596791	0 12 28 52 100 142 150 160 198 208 216 258 306 330 346 358	-1456684719136
STPT(10)	1365000397979437361	0 2 6 8 18 20 30 32 36 38	-648614878566
STPT(10)	1365001268717273177	0 2 12 14 42 44 72 74 84 86	222122957250
STPT(10)	1365001398723704381	0 2 6 8 48 50 90 92 96 98	352129388454
SPT(16)	1365001737418379759	0 18 24 30 98 108 128 144 164 180 200 210 278 284 290 308	690824063832
SPT(16)	1365001971719739137	0 14 24 80 114 162 204 246 290 332 374 422 456 512 522 536	925125423210
SPT(16)	1365001992506578891	0 10 12 78 82 148 150 192 196 238 240 306 310 376 378 388	945912262964