Prime p₀= 746590645009295267 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Theadalus
db: batch=73, k=10, 2 22 2 16 2

TPT(14)	746589982124618561	0 2 96 98 150 152 180 182 306 308 378 380 408 410	-662884676706
STPT(10)	746590025625095291	0 2 6 8 48 50 90 92 96 98	-619384199976
STPT(12)	746590056348167189	0 2 12 14 72 74 168 170 228 230 240 242	-588661128078
SPT(16)	746590182489663829	0 58 64 84 114 168 174 184 204 214 220 274 304 324 330 388	-462519631438
STPT(10)	746590464900549089	0 2 18 20 30 32 42 44 60 62	-180108746178
SPT(16)	746590479666891473	0 38 50 54 60 80 98 108 236 246 264 284 290 294 306 344	-165342403794
SPT(16)	746591064985391467	0 34 174 246 262 316 364 370 396 402 450 504 520 592 732 766	419976096200
SPT(16)	746591101126554581	0 32 60 62 72 140 176 216 242 282 318 386 396 398 426 458	456117259314
STPT(10)	746591839164858017	0 2 90 92 102 104 114 116 204 206	1194155562750
SPT(16)	746591892119081051	0 18 32 60 96 138 198 240 248 290 350 392 428 456 470 488	1247109785784
SPT(16)	746591940782381123	0 8 50 66 78 138 140 146 198 204 206 266 278 294 336 344	1295773085856