Prime p₀= 1516585135166811077 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: amazing
db: batch=78, k=10, 2 28 2 10 2

SPT(13)	1516583231116486901	0 12 30 60 180 186 246 306 312 432 462 480 492	-1904050324176
STPT(10)	1516583435437760321	0 2 30 32 78 80 126 128 156 158	-1699729050756
SPT(16)	1516583639114330987	0 14 26 56 90 104 134 176 180 222 252 266 300 330 342 356	-1496052480090
SPT(16)	1516584202768967639	0 72 104 138 168 240 264 300 332 368 392 464 494 528 560 632	-932397843438
SPT(16)	1516584224502021533	0 6 8 14 20 104 110 138 146 174 180 264 270 276 278 284	-910664789544
SPT(16)	1516584965963950723	0 40 58 78 154 178 180 184 360 364 366 390 466 486 504 544	-169202860354
SPT(16)	1516585817694540127	0 6 16 54 72 132 166 184 192 210 244 304 322 360 370 376	682527729050
STPT(10)	1516586188719452087	0 2 30 32 42 44 54 56 84 86	1053552641010
SPT(18)	1516586896182408101	0 8 20 36 50 78 150 188 206 342 360 398 470 498 512 528 540 548	1761015597024
SPT(16)	1516587180365584969	0 94 108 162 168 180 210 252 400 442 472 484 490 544 558 652	2045198773892
SPT(16)	1516587189495864539	0 20 60 74 98 120 174 188 294 308 362 384 408 422 462 482	2054329053462