Prime p₀= 2499315349835587649 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: [SG-FC] hl
db: batch=82, k=10, 2 40 2 16 2

SPT(16)	2499313377848256667	0 22 34 40 60 64 84 174 370 460 480 484 504 510 522 544	-1971987330982
SPT(16)	2499314339084893081	0 72 76 118 180 190 202 208 240 246 258 268 330 372 376 448	-1010750694568
STPT(10)	2499314467316073437	0 2 30 32 60 62 90 92 120 122	-882519514212
TPT(16)	2499314882323165679	0 2 48 50 90 92 120 122 348 350 420 422 498 500 570 572	-467512421970
SPT(16)	2499315159171318947	0 30 44 54 62 72 90 104 210 224 242 252 260 270 284 314	-190664268702
SPT(16)	2499315236315952497	0 80 92 132 146 210 252 296 336 380 422 486 500 540 552 632	-113519635152
SPT(16)	2499315431262129379	0 4 22 28 30 40 60 84 118 142 162 172 174 180 198 202	81426541730
STPT(10)	2499315611282362097	0 2 30 32 42 44 54 56 84 86	261446774448
STPT(10)	2499316675719596177	0 2 30 32 42 44 54 56 84 86	1325884008528
SPT(16)	2499317412604362547	0 22 54 60 64 70 150 246 340 436 516 522 526 532 564 586	2062768774898
STPT(10)	2499317484648806639	0 2 108 110 210 212 312 314 420 422	2134813218990