Prime p₀= 1580096622695448857 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: xii5ku
db: batch=78, k=10, 2 22 2 16 2

SPT(16)	1580096147046139187	0 14 20 44 80 86 104 110 126 132 150 156 192 216 222 236	-475649309670
SPT(16)	1580096267723254159	0 54 64 72 82 84 114 132 190 208 238 240 250 258 268 322	-354972194698
SPT(16)	1580096445702899053	0 4 10 70 114 160 196 286 294 384 420 466 510 570 576 580	-176992549804
SPT(16)	1580096448433262063	0 30 44 90 110 120 156 176 258 278 314 324 344 390 404 434	-174262186794
SPT(16)	1580096540334200501	0 2 6 12 48 126 138 158 240 260 272 350 386 392 396 398	-82361248356
STPT(10)	1580096605526902649	0 2 18 20 30 32 42 44 60 62	-17168546208
STPT(10)	1580096711770209509	0 2 30 32 60 62 90 92 120 122	89074760652
SPT(16)	1580096739615815419	0 4 18 42 48 168 190 232 300 342 364 484 490 514 528 532	116920366562
STPT(10)	1580096747060341589	0 2 48 50 60 62 72 74 120 122	124364892732
SPT(20)	1580096841552091663	0 28 36 54 94 126 154 190 196 208 246 258 264 300 328 360 400 418 426 454	218856642806
SPT(16)	1580096931977249461	0 6 12 46 66 70 88 132 136 180 198 202 222 256 262 268	309281800604