Prime p₀= 2343625408004688989 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

STPT(12)	2343623694650938079	0 2 18 20 42 44 48 50 72 74 90 92	-1713353750910
SPT(16)	2343623763447328807	0 4 30 40 96 106 130 142 144 156 180 190 246 256 282 286	-1644557360182
SPT(16)	2343623833402773661	0 6 22 36 76 106 120 136 276 292 306 336 376 390 406 412	-1574601915328
SPT(16)	2343624147603489451	0 18 46 78 82 112 156 172 246 262 306 336 340 372 400 418	-1260401199538
SPT(16)	2343624776838098267	0 42 54 90 150 156 164 170 276 282 290 296 356 392 404 446	-631166590722
SPT(16)	2343625106048933627	0 6 42 60 86 96 140 144 182 186 230 240 266 284 320 326	-301955755362
STPT(10)	2343625524926122769	0 2 48 50 90 92 132 134 180 182	116921433780
SPT(16)	2343625581474568057	0 16 30 36 60 130 150 186 196 232 252 322 346 352 366 382	173469879068
STPT(10)	2343625734497968001	0 2 6 8 48 50 90 92 96 98	326493279012
STPT(10)	2343626712862829741	0 2 6 8 48 50 90 92 96 98	1304858140752
SPT(13)	2343626829045616507	0 54 84 96 150 156 180 204 210 264 276 306 360	1421040927518