Prime p₀= 2716247258738392187 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: suriv
db: batch=82, k=10, 2 10 2 58 2

SPT(16)	2716246314257067643	0 28 94 126 190 198 204 256 258 310 316 324 388 420 486 514	-944481324544
SPT(18)	2716246377477596437	0 6 22 40 42 52 66 102 112 144 154 190 204 214 216 234 250 256	-881260795750
STPT(10)	2716246510395416861	0 2 30 32 78 80 126 128 156 158	-748342975326
SPT(16)	2716246572038064113	0 14 20 66 68 104 138 140 234 236 270 306 308 354 360 374	-686700328074
STPT(10)	2716246629387049019	0 2 18 20 30 32 42 44 60 62	-629351343168
SPT(16)	2716246699782716413	0 4 18 24 48 60 96 130 174 208 244 256 280 286 300 304	-558955675774
SPT(16)	2716247319752064487	0 12 42 64 82 120 124 174 280 330 334 372 390 412 442 454	61013672300
SPT(20)	2716247606686263863	0 26 36 54 90 98 110 140 146 170 174 198 204 234 246 254 290 308 318 344	347947871676
SPT(16)	2716247792147988649	0 18 28 52 84 132 160 172 210 222 250 298 330 354 364 382	533409596462
STPT(10)	2716247968062556379	0 2 48 50 90 92 132 134 180 182	709324164192
SPT(16)	2716248107546415691	0 42 46 88 132 168 190 196 222 228 250 286 330 372 376 418	848808023504