Prime p₀= 2911173569078035367 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: Ben
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2911171399821006379	0 10 22 28 52 54 82 88 144 150 178 180 204 210 222 232	-2169257028988
SPT(16)	2911171583750440273	0 18 28 40 54 58 76 84 130 138 156 160 174 186 196 214	-1985327595094
STPT(10)	2911171845816288077	0 2 90 92 102 104 114 116 204 206	-1723261747290
SPT(16)	2911172568703889951	0 18 86 138 168 198 206 236 240 270 278 308 338 390 458 476	-1000374145416
SPT(16)	2911172756653567519	0 28 112 124 144 148 150 178 324 352 354 358 378 390 474 502	-812424467848
STPT(10)	2911173273673258511	0 2 30 32 78 80 126 128 156 158	-295404776856
STPT(10)	2911174134679810001	0 2 30 32 60 62 90 92 120 122	565601774634
SPT(16)	2911174665397567007	0 134 162 174 272 290 314 344 390 420 444 462 560 572 600 734	1096319531640
SPT(16)	2911174755038270207	0 14 26 32 56 60 90 132 224 266 296 300 324 330 342 356	1185960234840
STPT(10)	2911175219790782687	0 2 12 14 42 44 72 74 84 86	1650712747320
SPT(16)	2911175320331882671	0 12 22 28 46 72 90 118 210 238 256 282 300 306 316 328	1751253847304