Prime p₀= 1031264998644711599 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: stoneageman
db: batch=76, k=10, 2 16 2 10 2

SPT(16)	1031264037318738169	0 22 24 42 58 64 72 78 94 100 108 114 130 148 150 172	-961325973430
SPT(16)	1031264057246200223	0 68 78 84 120 138 188 200 294 306 356 374 410 416 426 494	-941398511376
SPT(16)	1031264153549887547	0 2 6 36 104 134 156 252 254 350 372 402 470 500 504 506	-845094824052
STPT(10)	1031264589074097611	0 2 30 32 78 80 126 128 156 158	-409570613988
STPT(10)	1031264810123181131	0 2 36 38 78 80 120 122 156 158	-188521530468
STPT(10)	1031264898566671799	0 2 18 20 30 32 42 44 60 62	-100078039800
STPT(10)	1031265211321540751	0 2 6 8 48 50 90 92 96 98	212676829152
SPT(18)	1031265342625464701	0 2 30 62 68 86 126 132 156 182 206 212 252 270 276 308 336 338	343980753102
STPT(10)	1031265381337412099	0 2 48 50 90 92 132 134 180 182	382692700500
SPT(16)	1031265608445825133	0 76 108 166 174 184 198 240 244 286 300 310 318 376 408 484	609801113534
SPT(16)	1031265763034172409	0 28 34 42 58 100 102 112 120 130 132 174 190 198 204 232	764389460810