Prime p₀= 2405366560713607121 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: [SG-FC] hl
db: batch=82, k=10, 2 76 2 58 2

SPT(16)	2405364681985314871	0 16 42 48 106 118 148 178 180 210 240 252 310 316 342 358	-1878728292250
SPT(16)	2405365060570999151	0 30 56 78 120 170 302 308 330 336 468 518 560 582 608 638	-1500142607970
SPT(16)	2405365494604474393	0 18 28 66 70 148 150 190 234 274 276 354 358 396 406 424	-1066109132728
SPT(16)	2405366131179091583	0 6 20 90 98 104 114 144 170 200 210 216 224 294 308 314	-429534515538
SPT(16)	2405366144723959531	0 6 10 46 60 66 76 90 358 372 382 388 402 438 442 448	-415989647590
STPT(10)	2405366478968262749	0 2 42 44 60 62 78 80 120 122	-81745344372
STPT(10)	2405366609254038959	0 2 42 44 90 92 138 140 180 182	48540431838
STPT(12)	2405366637793631927	0 2 42 44 60 62 114 116 132 134 174 176	77080024806
TPT(14)	2405367727867236059	0 2 12 14 30 32 48 50 72 74 90 92 132 134	1167153628938
SPT(16)	2405367781669901687	0 6 42 56 84 86 170 174 212 216 300 302 330 344 380 386	1220956294566
STPT(10)	2405368015612165691	0 2 6 8 48 50 90 92 96 98	1454898558570