Prime p₀= 2774741164702056617 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: 146
Found by: [AF>Le_Pommier] Jerome_C2005
db: batch=82, k=10, 2 10 2 58 2

SPT(16)	2774740286069230579	0 18 28 78 94 130 144 154 168 178 192 228 244 294 304 322	-878632826038
SPT(16)	2774740648557505013	0 50 60 74 170 218 224 228 236 240 246 294 390 404 414 464	-516144551604
SPT(16)	2774740779372910393	0 34 48 84 94 118 154 178 216 240 276 300 310 346 360 394	-385329146224
SPT(16)	2774740810432986019	0 42 88 100 210 228 252 262 360 370 394 412 522 534 580 622	-354269070598
SPT(16)	2774740920598019383	0 10 36 96 174 208 216 220 234 238 246 280 358 418 444 454	-244104037234
STPT(10)	2774741069477550947	0 2 54 56 72 74 90 92 144 146	-95224505670
STPT(10)	2774741478663836117	0 2 42 44 72 74 102 104 144 146	313961779500
STPT(10)	2774741478942771311	0 2 120 122 138 140 156 158 276 278	314240714694
STPT(10)	2774741818707906737	0 2 30 32 42 44 54 56 84 86	654005850120
SPT(16)	2774741875866726407	0 20 42 66 74 80 126 192 224 290 336 342 350 374 396 416	711164669790
SPT(16)	2774741917403716697	0 12 72 84 92 150 162 170 216 224 236 294 302 314 374 386	752701660080