Prime p₀= 1078718297891224811 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Theadalus
db: batch=76, k=10, 2 4 2 10 2

SPT(16)	1078717697470970993	0 8 78 86 116 146 156 206 210 260 270 300 330 338 408 416	-600420253818
STPT(10)	1078717793859723371	0 2 6 8 48 50 90 92 96 98	-504031501440
SPT(16)	1078717936948144057	0 10 36 52 66 112 126 186 256 316 330 376 390 406 432 442	-360943080754
TPT(14)	1078717957351026407	0 2 42 44 72 74 120 122 450 452 522 524 552 554	-340540198404
STPT(10)	1078717993630063487	0 2 30 32 42 44 54 56 84 86	-304261161324
SPT(16)	1078718214369522343	0 40 60 96 130 190 238 250 276 288 336 396 430 466 486 526	-83521702468
TPT(14)	1078718474848254209	0 2 12 14 30 32 48 50 132 134 168 170 270 272	176957029398
STPT(10)	1078718874717951161	0 2 36 38 78 80 120 122 156 158	576826726350
SPT(16)	1078720030037873011	0 6 18 40 90 120 136 208 258 330 346 376 426 448 460 466	1732146648200
SPT(16)	1078720140935034713	0 20 24 38 48 78 98 104 114 120 140 170 180 194 198 218	1843043809902
SPT(16)	1078720158587590291	0 10 82 106 208 322 388 400 408 420 486 600 702 726 798 808	1860696365480