Prime p₀= 786208696322916071 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: GLeeM
db: batch=73, k=10, 2 4 2 10 2

SPT(16)	786207228830615297	0 60 66 90 170 200 252 254 312 314 366 396 476 500 506 566	-1467492300774
SPT(16)	786207249470991641	0 20 42 68 72 126 132 138 140 146 152 206 210 236 258 278	-1446851924430
STPT(10)	786207344613985121	0 2 36 38 78 80 120 122 156 158	-1351708930950
STPT(10)	786207377688535469	0 2 18 20 30 32 42 44 60 62	-1318634380602
SPT(16)	786207472330735363	0 10 16 28 60 94 108 154 210 256 270 304 336 348 354 364	-1223992180708
SPT(16)	786207853311503027	0 42 80 96 146 174 192 194 252 254 272 300 350 366 404 446	-843011413044
SPT(16)	786208729590189811	0 12 42 70 148 166 168 192 196 220 222 240 318 346 376 388	33267273740
SPT(16)	786208731906554081	0 132 146 188 228 242 258 272 306 320 336 350 390 432 446 578	35583638010
STPT(10)	786208849675590161	0 2 6 8 18 20 30 32 36 38	153352674090
STPT(10)	786208946153050331	0 2 6 8 18 20 30 32 36 38	249830134260
STPT(12)	786209101419537977	0 2 24 26 30 32 54 56 60 62 84 86	405096621906