Prime p₀= 1052337345287900057 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: stoneageman
db: batch=76, k=10, 2 10 2 28 2

SPT(16)	1052335639052572097	0 2 44 62 80 84 90 104 132 146 152 156 174 192 234 236	-1706235327960
STPT(10)	1052336382260871437	0 2 30 32 72 74 114 116 144 146	-963027028620
SPT(16)	1052336571155436689	0 42 72 78 108 134 218 260 282 324 408 434 464 470 500 542	-774132463368
STPT(10)	1052336882015308829	0 2 42 44 60 62 78 80 120 122	-463272591228
SPT(16)	1052336895795507137	0 72 92 116 176 186 210 324 452 566 590 600 660 684 704 776	-449492392920
SPT(16)	1052337303022318111	0 42 106 126 156 208 222 226 582 586 600 652 682 702 766 808	-42265581946
SPT(16)	1052337757012730719	0 42 48 90 102 142 192 198 214 220 270 310 322 364 370 412	411724830662
TPT(14)	1052337816053690051	0 2 18 20 96 98 186 188 198 200 216 218 240 242	470765789994
STPT(10)	1052337981234855839	0 2 18 20 30 32 42 44 60 62	635946955782
STPT(12)	1052338145536163201	0 2 48 50 60 62 198 200 210 212 258 260	800248263144
SPT(16)	1052338244622561761	0 18 30 78 96 116 120 168 170 218 222 242 260 308 320 338	899334661704