Prime p₀= 2053592885783144117 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: MechWarrior
db: batch=80, k=10, 2 22 2 16 2

SPT(16)	2053591662072591503	0 48 156 206 210 230 284 288 296 300 354 374 378 428 536 584	-1223710552614
STPT(12)	2053591721391433961	0 2 36 38 48 50 78 80 90 92 126 128	-1164391710156
STPT(10)	2053592196998768507	0 2 54 56 72 74 90 92 144 146	-688784375610
STPT(10)	2053592480907635189	0 2 18 20 30 32 42 44 60 62	-404875508928
STPT(10)	2053592736280466837	0 2 30 32 42 44 54 56 84 86	-149502677280
SPT(16)	2053592849833332397	0 24 42 76 84 90 102 106 300 304 316 322 330 364 382 406	-35949811720
SPT(16)	2053592937263246189	0 30 44 132 198 200 228 252 440 464 492 494 560 648 662 692	51480102072
SPT(16)	2053593023828493139	0 10 48 88 90 94 130 172 180 222 258 262 264 304 342 352	138045349022
STPT(10)	2053593211945961471	0 2 30 32 78 80 126 128 156 158	326162817354
SPT(16)	2053593233220978751	0 16 22 52 60 78 120 126 172 178 220 238 246 276 282 298	347437834634
SPT(16)	2053593515273837821	0 18 102 118 186 232 240 252 316 328 336 382 450 466 550 568	629490693704