Prime p₀= 2031098639415000497 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: Dingo
db: batch=80, k=10, 2 22 2 16 2

SPT(16)	2031096978258929353	0 6 34 66 84 106 114 120 154 160 168 190 208 240 268 274	-1661156071144
SPT(16)	2031096998366191253	0 44 66 80 114 134 150 156 254 260 276 296 330 344 366 410	-1641048809244
STPT(10)	2031097020011037611	0 2 6 8 48 50 90 92 96 98	-1619403962886
STPT(10)	2031097230026833559	0 2 42 44 90 92 138 140 180 182	-1409388166938
STPT(10)	2031097382141767361	0 2 36 38 78 80 120 122 156 158	-1257273233136
SPT(16)	2031098218723319987	0 24 44 50 92 120 126 132 164 170 176 204 246 252 272 296	-420691680510
SPT(16)	2031098723550002807	0 30 96 156 162 180 246 276 350 380 446 464 470 530 596 626	84135002310
SPT(16)	2031099091185509897	0 6 24 60 66 84 114 126 170 182 212 230 236 272 290 296	451770509400
STPT(10)	2031099228690708101	0 2 30 32 78 80 126 128 156 158	589275707604
TPT(14)	2031099302423007539	0 2 72 74 162 164 240 242 282 284 420 422 462 464	663008007042
STPT(10)	2031099497825754689	0 2 12 14 90 92 168 170 180 182	858410754192