Prime p₀= 2810403009208385579 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: [SG]ATA-Rolf
db: batch=82, k=10, 2 16 2 10 2

TPT(14)	2810400383823888641	0 2 60 62 78 80 186 188 198 200 240 242 366 368	-2625384496938
STPT(10)	2810401135074136361	0 2 6 8 18 20 30 32 36 38	-1874134249218
STPT(10)	2810401186520969087	0 2 54 56 72 74 90 92 144 146	-1822687416492
SPT(16)	2810401619307113983	0 4 30 40 88 114 154 166 258 270 310 336 384 394 420 424	-1389901271596
SPT(16)	2810402506541720029	0 30 42 64 88 90 120 168 304 352 382 384 408 430 442 472	-502666665550
STPT(10)	2810402789245797281	0 2 6 8 48 50 90 92 96 98	-219962588298
TPT(14)	2810403352408641989	0 2 18 20 60 62 198 200 228 230 240 242 270 272	343200256410
STPT(10)	2810403744911327861	0 2 6 8 18 20 30 32 36 38	735702942282
SPT(16)	2810404017267279029	0 18 78 98 108 120 134 150 158 174 188 200 210 230 290 308	1008058893450
SPT(16)	2810404118927405993	0 18 20 116 156 210 236 248 258 270 296 350 390 486 488 506	1109719020414
STPT(10)	2810404144199495279	0 2 42 44 60 62 78 80 120 122	1134991109700