Prime p₀= 1028497737668920661 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: stoneageman
db: batch=76, k=10, 2 4 2 10 2

SPT(16)	1028497407594820837	0 16 36 60 70 154 160 172 174 186 192 276 286 310 330 346	-330074099824
STPT(10)	1028497468921603661	0 2 36 38 78 80 120 122 156 158	-268747317000
TPT(14)	1028497634409158687	0 2 12 14 42 44 72 74 90 92 114 116 132 134	-103259761974
SPT(16)	1028497652480983019	0 2 54 74 132 140 168 170 282 284 312 320 378 398 450 452	-85187937642
STPT(10)	1028497687807222067	0 2 30 32 42 44 54 56 84 86	-49861698594
TPT(14)	1028497705363548221	0 2 6 8 18 20 90 92 156 158 240 242 300 302	-32305372440
SPT(16)	1028497970628796883	0 26 54 90 96 140 168 224 270 326 354 398 404 440 468 494	232959876222
STPT(10)	1028498084703722429	0 2 18 20 30 32 42 44 60 62	347034801768
SPT(16)	1028498231715872087	0 14 44 150 162 210 234 242 294 302 326 374 386 492 522 536	494046951426
STPT(10)	1028498349694170527	0 2 12 14 42 44 72 74 84 86	612025249866
SPT(18)	1028498425946130907	0 36 40 54 60 106 126 144 160 180 196 214 234 280 286 300 304 340	688277210246