Prime p₀= 2311909758633742901 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 124 2 40 2 40 2 124 2 (?)
a_n: 0 2 126 128 168 170 210 212 336 338
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: 338
Found by: Landjunge
db: batch=81, k=10, 2 124 2 40 2

SPT(16)	2311907867496989407	0 34 46 52 64 76 84 90 106 112 120 132 144 150 162 196	-1891136753494
STPT(10)	2311907966909780807	0 2 12 14 42 44 72 74 84 86	-1791723962094
STPT(10)	2311908116189192357	0 2 42 44 72 74 102 104 144 146	-1642444550544
SPT(16)	2311908156622029499	0 58 84 118 120 150 154 184 204 234 238 268 270 304 330 388	-1602011713402
STPT(10)	2311908321633907439	0 2 18 20 60 62 102 104 120 122	-1436999835462
STPT(10)	2311908868265265947	0 2 30 32 42 44 54 56 84 86	-890368476954
SPT(16)	2311909780990447481	0 12 48 72 116 126 128 180 188 240 242 252 296 320 356 368	22356704580
SPT(16)	2311909822922331859	0 22 42 52 94 118 160 162 190 192 234 258 300 310 330 352	64288588958
SPT(16)	2311909855184620087	0 82 90 96 106 112 166 180 196 210 264 270 280 286 294 376	96550877186
STPT(10)	2311910695557781397	0 2 60 62 102 104 144 146 204 206	936924038496
SPT(16)	2311911330068777221	0 10 42 52 66 96 100 120 142 162 166 196 210 220 252 262	1571435034320