Prime p₀= 1058120203863872351 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 136 2 28 2 28 2 136 2 (?)
a_n: 0 2 138 140 168 170 198 200 336 338
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: 338
Found by: Theadalus
db: batch=76, k=10, 2 136 2 28 2

SPT(16)	1058118627121058471	0 12 20 56 86 132 146 150 338 342 356 402 432 468 476 488	-1576742813880
STPT(10)	1058118752727098729	0 2 18 20 30 32 42 44 60 62	-1451136773622
SPT(16)	1058119638507056327	0 2 66 72 86 104 116 132 164 180 192 210 224 230 294 296	-565356816024
STPT(10)	1058119740842624399	0 2 30 32 60 62 90 92 120 122	-463021247952
SPT(16)	1058119909377507497	0 44 56 140 146 156 266 276 320 330 440 450 456 540 552 596	-294486364854
SPT(16)	1058120107195945837	0 4 24 54 82 102 150 196 330 376 424 444 472 502 522 526	-96667926514
SPT(16)	1058120242944861433	0 24 130 138 186 220 226 240 304 318 324 358 406 414 520 544	39080989082
STPT(10)	1058120301189260117	0 2 12 14 42 44 72 74 84 86	97325387766
SPT(16)	1058120598512493949	0 24 30 52 70 72 142 154 168 180 250 252 270 292 298 322	394648621598
STPT(10)	1058120812023755279	0 2 48 50 60 62 72 74 120 122	608159882928
SPT(16)	1058120843512772719	0 4 52 58 60 70 72 82 240 250 252 262 264 270 318 322	639648900368