Prime p₀= 786207377688535469 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: GLeeM
db: batch=73, k=10, 2 16 2 10 2

SPT(18)	786206366143769027	0 30 44 56 80 92 132 140 146 150 156 164 204 216 240 252 266 296	-1011544766442
SPT(16)	786207087509560183	0 4 54 60 88 186 220 234 280 294 328 426 454 460 510 514	-290178975286
STPT(10)	786207186223021877	0 2 30 32 42 44 54 56 84 86	-191465513592
SPT(16)	786207228830615297	0 60 66 90 170 200 252 254 312 314 366 396 476 500 506 566	-148857920172
SPT(16)	786207249470991641	0 20 42 68 72 126 132 138 140 146 152 206 210 236 258 278	-128217543828
STPT(10)	786207344613985121	0 2 36 38 78 80 120 122 156 158	-33074550348
SPT(16)	786207472330735363	0 10 16 28 60 94 108 154 210 256 270 304 336 348 354 364	94642199894
SPT(16)	786207853311503027	0 42 80 96 146 174 192 194 252 254 272 300 350 366 404 446	475622967558
STPT(10)	786208696322916071	0 2 6 8 18 20 30 32 36 38	1318634380602
SPT(16)	786208729590189811	0 12 42 70 148 166 168 192 196 220 222 240 318 346 376 388	1351901654342
SPT(16)	786208731906554081	0 132 146 188 228 242 258 272 306 320 336 350 390 432 446 578	1354218018612