Prime p₀= 2361576688991480729 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Landjunge
db: batch=81, k=10, 2 16 2 10 2

STPT(10)	2361573024342280739	0 2 12 14 90 92 168 170 180 182	-3664649199990
SPT(16)	2361573195481689433	0 18 28 54 90 144 150 180 208 238 244 298 334 360 370 388	-3493509791296
SPT(16)	2361573454726540381	0 60 70 132 136 148 210 216 292 298 360 372 376 438 448 508	-3234264940348
TPT(14)	2361573937275946427	0 2 12 14 72 74 114 116 180 182 210 212 234 236	-2751715534302
STPT(12)	2361574964418587171	0 2 36 38 48 50 78 80 90 92 126 128	-1724572893558
SPT(16)	2361575352319939489	0 4 132 144 160 180 208 214 258 264 292 312 328 340 468 472	-1336671541240
SPT(20)	2361577656618356497	0 12 40 60 124 192 220 222 234 252 304 322 334 336 364 432 496 516 544 556	967626875768
SPT(16)	2361577890095409593	0 18 66 90 138 156 200 210 254 264 308 326 374 398 446 464	1201103928864
SPT(16)	2361578322456520753	0 28 34 46 76 126 154 178 186 210 238 288 318 330 336 364	1633465040024
STPT(10)	2361578408841883409	0 2 12 14 90 92 168 170 180 182	1719850402680
STPT(10)	2361578650624432397	0 2 30 32 72 74 114 116 144 146	1961632951668