Prime p₀= 786207186223021877 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: GLeeM
db: batch=73, k=10, 2 28 2 10 2

SPT(18)	786205143825087913	0 6 10 28 114 148 174 196 226 258 288 310 336 370 456 474 478 484	-2042397933964
TPT(14)	786205404633066281	0 2 6 8 48 50 78 80 138 140 216 218 276 278	-1781589955596
STPT(10)	786205773990276119	0 2 18 20 30 32 42 44 60 62	-1412232745758
STPT(10)	786205836797139917	0 2 54 56 72 74 90 92 144 146	-1349425881960
SPT(18)	786206366143769027	0 30 44 56 80 92 132 140 146 150 156 164 204 216 240 252 266 296	-820079252850
SPT(16)	786207087509560183	0 4 54 60 88 186 220 234 280 294 328 426 454 460 510 514	-98713461694
SPT(16)	786207228830615297	0 60 66 90 170 200 252 254 312 314 366 396 476 500 506 566	42607593420
SPT(16)	786207249470991641	0 20 42 68 72 126 132 138 140 146 152 206 210 236 258 278	63247969764
STPT(10)	786207344613985121	0 2 36 38 78 80 120 122 156 158	158390963244
STPT(10)	786207377688535469	0 2 18 20 30 32 42 44 60 62	191465513592
SPT(16)	786207472330735363	0 10 16 28 60 94 108 154 210 256 270 304 336 348 354 364	286107713486