Prime p₀= 2462537081797420721 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: [SG-FC] hl
db: batch=82, k=10, 2 34 2 40 2

SPT(16)	2462535567767216761	0 28 36 40 42 58 72 88 180 196 210 226 228 232 240 268	-1514030203960
STPT(10)	2462535977740301717	0 2 42 44 72 74 102 104 144 146	-1104057119004
STPT(10)	2462536234393969169	0 2 18 20 60 62 102 104 120 122	-847403451552
SPT(16)	2462536876554709259	0 78 84 170 188 198 210 222 260 272 284 294 312 398 404 482	-205242711462
SPT(16)	2462537062077265669	0 4 18 28 34 48 60 84 94 118 130 144 150 160 174 178	-19720155052
SPT(16)	2462537071154163287	0 56 104 116 126 140 152 170 186 204 216 230 240 252 300 356	-10643257434
SPT(16)	2462537404975988429	0 50 74 84 152 182 224 264 398 438 480 510 578 588 612 662	323178567708
SPT(16)	2462537482799958787	0 10 34 84 150 210 216 240 256 280 286 346 412 462 486 496	401002538066
STPT(10)	2462537847706297349	0 2 18 20 30 32 42 44 60 62	765908876628
SPT(16)	2462537931621558599	0 42 48 50 84 132 168 228 284 344 380 428 462 464 470 512	849824137878
STPT(12)	2462538233266439969	0 2 42 44 132 134 168 170 258 260 300 302	1151469019248