Prime p₀= 2768851724758301549 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: [SG-FC] hl
db: batch=82, k=10, 2 10 2 76 2

SPT(16)	2768849940408575539	0 42 60 64 70 148 168 172 330 334 354 432 438 442 460 502	-1784349726010
STPT(10)	2768849957747305427	0 2 30 32 72 74 114 116 144 146	-1767010996122
STPT(12)	2768850116278079807	0 2 30 32 42 44 72 74 84 86 114 116	-1608480221742
SPT(16)	2768850234345221293	0 4 40 54 108 120 130 138 346 354 364 376 430 444 480 484	-1490413080256
STPT(10)	2768850651869429747	0 2 42 44 72 74 102 104 144 146	-1072888871802
SPT(16)	2768850912914266867	0 36 52 60 66 84 172 186 280 294 382 400 406 414 430 466	-811844034682
SPT(16)	2768851902514831681	0 52 168 196 220 276 280 282 316 318 322 378 402 430 546 598	177756530132
SPT(16)	2768852133362587513	0 16 40 70 90 96 138 156 328 346 388 394 414 444 468 484	408604285964
SPT(16)	2768852309952154039	0 82 94 108 132 138 154 210 382 438 454 460 484 498 510 592	585193852490
STPT(10)	2768852350993285829	0 2 18 20 30 32 42 44 60 62	626234984280
SPT(16)	2768852547567614657	0 2 6 30 114 140 144 146 210 212 216 242 326 350 354 356	822809313108