Prime p₀= 2564313686476381199 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 46 2 46 2 40 2 (?)
a_n: 0 2 42 44 90 92 138 140 180 182
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: 182
Found by: [SG-FC] hl
db: batch=82, k=10, 2 40 2 46 2

SPT(16)	2564312410636046557	0 76 82 90 114 216 252 270 406 424 460 562 586 594 600 676	-1275840334642
STPT(12)	2564312876236344377	0 2 42 44 72 74 102 104 132 134 174 176	-810240036822
SPT(16)	2564313262815211199	0 12 14 24 74 80 90 194 300 404 414 420 470 480 482 494	-423661170000
SPT(16)	2564313323921791913	0 30 48 98 108 126 158 170 186 198 230 248 258 308 326 356	-362554589286
SPT(16)	2564313373841084891	0 2 18 20 32 50 60 90 128 158 168 186 198 200 216 218	-312635296308
SPT(16)	2564313556906484413	0 6 16 24 108 118 120 130 174 184 186 196 280 288 298 304	-129569896786
SPT(16)	2564313952902587407	0 12 42 70 96 132 166 190 222 246 280 316 342 370 400 412	266426206208
STPT(10)	2564314084830136229	0 2 48 50 90 92 132 134 180 182	398353755030
SPT(16)	2564314112465261623	0 48 60 96 106 174 190 214 330 354 370 438 448 484 496 544	425988880424
SPT(16)	2564314354265043599	0 14 32 74 104 108 114 164 168 218 224 228 258 300 318 332	667788662400
STPT(10)	2564314388906745047	0 2 60 62 72 74 84 86 144 146	702430363848