Prime p₀= 1011357310440007511 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 76 2 58 2 58 2 76 2 (?)
a_n: 0 2 78 80 138 140 198 200 276 278
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: 278
Found by: vinn@[CNT]
db: batch=76, k=10, 2 76 2 58 2

SPT(16)	1011356359732036679	0 8 48 50 102 132 138 140 180 182 188 218 270 272 312 320	-950707970832
SPT(16)	1011356548299199591	0 12 66 112 130 132 142 172 180 210 220 222 240 286 340 352	-762140807920
STPT(10)	1011356553102177221	0 2 36 38 78 80 120 122 156 158	-757337830290
SPT(16)	1011356645560434599	0 32 44 72 74 98 144 150 242 248 294 318 320 348 360 392	-664879572912
SPT(16)	1011356999663320591	0 40 58 78 100 102 112 142 276 306 316 318 340 360 378 418	-310776686920
SPT(16)	1011357115696269409	0 4 12 18 34 40 58 90 112 144 162 168 184 190 198 202	-194743738102
STPT(10)	1011357597292532429	0 2 18 20 60 62 102 104 120 122	286852524918
SPT(16)	1011357678054013859	0 8 18 24 60 114 158 170 408 420 464 518 554 560 570 578	367614006348
SPT(16)	1011357747679067611	0 18 28 60 78 132 226 252 286 312 406 460 478 510 520 538	437239060100
SPT(16)	1011357849973809133	0 54 60 64 76 94 136 144 196 204 246 264 276 280 286 340	539533801622
SPT(18)	1011358015208091337	0 10 34 42 76 154 184 190 204 232 246 252 282 360 394 402 426 436	704768083826