Prime p₀= 2768104590468778571 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 40 2 40 2 4 2 (?)
a_n: 0 2 6 8 48 50 90 92 96 98
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: 98
Found by: [SG-FC] hl
db: batch=82, k=10, 2 4 2 40 2

SPT(16)	2768103402877576633	0 48 70 88 94 100 114 136 168 190 204 210 216 234 256 304	-1187591201938
SPT(16)	2768104019575539013	0 6 48 78 88 96 130 154 180 204 238 246 256 286 328 334	-570893239558
SPT(16)	2768104364680907767	0 40 64 84 154 160 190 204 292 306 336 342 412 432 456 496	-225787870804
SPT(16)	2768104489714130737	0 10 24 34 60 112 126 130 366 370 384 436 462 472 486 496	-100754647834
STPT(10)	2768104501272088019	0 2 18 20 30 32 42 44 60 62	-89196690552
STPT(10)	2768104522095471197	0 2 60 62 72 74 84 86 144 146	-68373307374
SPT(16)	2768104863077090923	0 16 78 94 106 114 136 138 166 168 190 198 210 226 288 304	272608312352
SPT(16)	2768104960718839979	0 14 18 48 80 108 138 150 182 194 224 252 284 314 318 332	370250061408
SPT(16)	2768105004545404723	0 16 90 138 168 220 238 246 280 288 306 358 388 436 510 526	414076626152
STPT(10)	2768105153005902959	0 2 18 20 30 32 42 44 60 62	562537124388
STPT(10)	2768105669614805489	0 2 12 14 30 32 48 50 60 62	1079146026918