Prime p₀= 2279085279395890289 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: JonS
db: batch=81, k=10, 2 40 2 16 2

SPT(16)	2279083315989688471	0 16 58 132 168 172 202 252 256 306 336 340 376 450 492 508	-1963406201818
STPT(10)	2279083519220120441	0 2 6 8 48 50 90 92 96 98	-1760175769848
STPT(10)	2279083703286012521	0 2 96 98 108 110 120 122 216 218	-1576109877768
SPT(16)	2279083945599410779	0 12 30 58 78 82 148 162 250 264 330 334 354 382 400 412	-1333796479510
STPT(10)	2279084178467536439	0 2 18 20 30 32 42 44 60 62	-1100928353850
STPT(10)	2279084436460147451	0 2 36 38 78 80 120 122 156 158	-842935742838
SPT(16)	2279085570572652529	0 30 52 72 84 94 108 130 132 154 168 178 190 210 232 262	291176762240
SPT(16)	2279085677546515241	0 48 50 126 176 186 188 230 288 330 332 342 392 468 470 518	398150624952
STPT(10)	2279085904216738817	0 2 54 56 72 74 90 92 144 146	624820848528
SPT(16)	2279086179007894019	0 54 78 102 110 134 170 194 228 252 288 312 320 344 368 422	899612003730
STPT(10)	2279086697531140097	0 2 30 32 42 44 54 56 84 86	1418135249808