Prime p₀= 2419337825938490447 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: [SG]ATA-Rolf
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2419336185351960841	0 18 22 30 40 106 156 180 238 262 312 378 388 396 400 418	-1640586529606
STPT(10)	2419336282266164867	0 2 12 14 72 74 132 134 144 146	-1543672325580
STPT(10)	2419336395455930129	0 2 12 14 90 92 168 170 180 182	-1430482560318
SPT(16)	2419336530438872419	0 48 58 72 90 102 162 172 228 238 298 310 328 342 352 400	-1295499618028
SPT(16)	2419337107487705809	0 4 34 52 70 112 144 172 210 238 270 312 330 348 378 382	-718450784638
SPT(16)	2419337486117838001	0 6 18 46 52 132 148 150 238 240 256 336 342 370 382 388	-339820652446
SPT(16)	2419337927010495593	0 18 60 84 98 114 138 170 198 230 254 270 284 308 350 368	101072005146
STPT(10)	2419338215051367677	0 2 12 14 72 74 132 134 144 146	389112877230
SPT(16)	2419338248737023491	0 12 62 80 98 128 146 150 278 282 300 330 348 366 416 428	422798533044
SPT(16)	2419338262733972329	0 18 40 168 184 210 228 232 270 274 292 318 334 462 484 502	436795481882
SPT(16)	2419338286777393931	0 48 80 92 102 162 180 182 186 188 206 266 276 288 320 368	460838903484