Prime p₀= 2510269511938943369 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: Penguin
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2510267934561062239	0 22 58 64 72 124 208 222 310 324 408 460 468 474 510 532	-1577377881130
STPT(10)	2510268074284473257	0 2 60 62 72 74 84 86 144 146	-1437654470112
SPT(16)	2510268623621924153	0 6 24 84 126 146 164 206 258 300 318 338 380 440 458 464	-888317019216
SPT(16)	2510268657917700971	0 2 30 62 90 96 110 168 200 258 272 278 306 338 366 368	-854021242398
STPT(10)	2510268895524036371	0 2 6 8 48 50 90 92 96 98	-616414906998
SPT(16)	2510269487897992459	0 30 34 58 64 78 90 130 228 268 280 294 300 324 328 358	-24040950910
SPT(16)	2510269902419953711	0 6 16 52 66 108 112 192 196 276 280 322 336 372 382 388	390481010342
TPT(14)	2510270034697360499	0 2 18 20 90 92 168 170 180 182 222 224 258 260	522758417130
SPT(16)	2510270289707999669	0 14 30 110 114 144 158 240 242 324 338 368 372 452 468 482	777769056300
STPT(10)	2510270424194902847	0 2 30 32 162 164 294 296 324 326	912255959478
STPT(10)	2510271128815399799	0 2 12 14 90 92 168 170 180 182	1616876456430