Prime p₀= 2774758914453615107 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)	2774757933327720499	0 4 34 70 78 108 178 202 390 414 484 514 522 558 588 592	-981125894608
TPT(14)	2774758142752953449	0 2 30 32 72 74 78 80 138 140 162 164 180 182	-771700661658
SPT(16)	2774758310303889233	0 18 44 56 78 86 120 158 216 254 288 296 318 330 356 374	-604149725874
TPT(14)	2774758352969013239	0 2 90 92 108 110 132 134 210 212 342 344 360 362	-561484601868
SPT(16)	2774758475197677257	0 6 44 122 126 174 246 252 254 260 332 380 384 462 500 506	-439255937850
STPT(12)	2774758897584246491	0 2 6 8 90 92 246 248 330 332 336 338	-16869368616
STPT(10)	2774758936893303299	0 2 18 20 30 32 42 44 60 62	22439688192
STPT(10)	2774759383551229757	0 2 42 44 72 74 102 104 144 146	469097614650
SPT(16)	2774759482634937601	0 12 18 30 88 102 112 118 150 156 166 180 238 250 256 268	568181322494
STPT(10)	2774759605087120631	0 2 36 38 78 80 120 122 156 158	690633505524
STPT(10)	2774759622980689217	0 2 30 32 42 44 54 56 84 86	708527074110