Prime p₀= 2605946521246606001 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: SEARCHER
db: batch=82, k=10, 2 34 2 40 2

SPT(16)	2605943695551716309	0 48 80 122 128 170 188 192 230 234 252 294 300 342 374 422	-2825694889692
SPT(16)	2605944102467751949	0 18 22 60 72 138 148 150 352 354 364 430 442 480 484 502	-2418778854052
STPT(10)	2605944469949819627	0 2 30 32 72 74 114 116 144 146	-2051296786374
SPT(16)	2605944798655810421	0 32 42 110 116 120 150 182 186 218 248 252 258 326 336 368	-1722590795580
TPT(14)	2605945964515395107	0 2 222 224 240 242 264 266 270 272 300 302 420 422	-556731210894
STPT(10)	2605946108689773539	0 2 18 20 30 32 42 44 60 62	-412556832462
STPT(10)	2605946559889089017	0 2 12 14 42 44 72 74 84 86	38642483016
TPT(14)	2605946750056339979	0 2 48 50 78 80 90 92 120 122 168 170 198 200	228809733978
STPT(12)	2605946750056339979	0 2 48 50 78 80 90 92 120 122 168 170	228809733978
SPT(16)	2605946903020551613	0 46 76 90 108 136 154 174 190 210 228 256 274 288 318 364	381773945612
STPT(10)	2605947376910379239	0 2 48 50 90 92 132 134 180 182	855663773238