Prime p₀= 2731904679668857307 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: JayPi
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2731903450935978043	0 64 70 114 160 174 180 184 264 268 274 288 334 378 384 448	-1228732879264
STPT(10)	2731903481583017681	0 2 30 32 60 62 90 92 120 122	-1198085839626
SPT(16)	2731904056525337513	0 50 98 108 110 144 150 198 206 254 260 294 296 306 354 404	-623143519794
SPT(16)	2731904074011426263	0 14 20 26 50 96 120 140 144 164 188 234 258 264 270 284	-605657431044
SPT(16)	2731904412699733079	0 2 14 32 90 102 168 204 278 314 380 392 450 468 480 482	-266969124228
SPT(16)	2731904560389498943	0 4 28 36 78 138 148 166 168 186 196 256 298 306 330 334	-119279358364
STPT(10)	2731905182792665727	0 2 12 14 42 44 72 74 84 86	503123808420
SPT(16)	2731905228419312221	0 12 30 42 52 100 112 138 220 246 258 306 316 328 346 358	548750454914
TPT(14)	2731905368111404907	0 2 30 32 144 146 204 206 240 242 312 314 342 344	688442547600
STPT(10)	2731905692100327929	0 2 18 20 30 32 42 44 60 62	1012431470622
STPT(10)	2731905874065318029	0 2 48 50 60 62 72 74 120 122	1194396460722