Prime p₀= 2541323720541373457 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: JayPi
db: batch=82, k=10, 2 28 2 10 2

STPT(10)	2541321634405553771	0 2 30 32 78 80 126 128 156 158	-2086135819686
TPT(14)	2541322119007035179	0 2 168 170 270 272 342 344 408 410 450 452 462 464	-1601534338278
STPT(10)	2541322513627562237	0 2 60 62 72 74 84 86 144 146	-1206913811220
SPT(16)	2541322669084920601	0 90 100 108 126 130 136 166 312 342 348 352 370 378 388 478	-1051456452856
SPT(16)	2541323337788861557	0 12 22 24 40 46 52 72 94 114 120 126 142 144 154 166	-382752511900
SPT(16)	2541323528164475617	0 90 154 160 192 220 222 246 250 274 276 304 336 342 406 496	-192376897840
SPT(16)	2541324344189895883	0 16 28 34 58 120 124 136 138 150 154 216 240 246 258 274	623648522426
STPT(10)	2541324769239376739	0 2 12 14 150 152 288 290 300 302	1048698003282
STPT(10)	2541324894778152737	0 2 90 92 102 104 114 116 204 206	1174236779280
SPT(16)	2541325073133312923	0 44 56 84 90 116 134 156 188 210 228 254 260 288 300 344	1352591939466
SPT(16)	2541325147427799503	0 14 66 138 168 180 206 234 350 378 404 416 446 518 570 584	1426886426046