Prime p₀= 2810403744911327861 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: [SG]ATA-Rolf
db: batch=82, k=10, 2 4 2 10 2

STPT(10)	2810401186520969087	0 2 54 56 72 74 90 92 144 146	-2558390358774
SPT(16)	2810401619307113983	0 4 30 40 88 114 154 166 258 270 310 336 384 394 420 424	-2125604213878
SPT(16)	2810402506541720029	0 30 42 64 88 90 120 168 304 352 382 384 408 430 442 472	-1238369607832
STPT(10)	2810402789245797281	0 2 6 8 48 50 90 92 96 98	-955665530580
STPT(10)	2810403009208385579	0 2 18 20 30 32 42 44 60 62	-735702942282
TPT(14)	2810403352408641989	0 2 18 20 60 62 198 200 228 230 240 242 270 272	-392502685872
SPT(16)	2810404017267279029	0 18 78 98 108 120 134 150 158 174 188 200 210 230 290 308	272355951168
SPT(16)	2810404118927405993	0 18 20 116 156 210 236 248 258 270 296 350 390 486 488 506	374016078132
STPT(10)	2810404144199495279	0 2 42 44 60 62 78 80 120 122	399288167418
SPT(16)	2810404600165854799	0 24 174 198 220 228 262 298 324 360 394 402 424 448 598 622	855254526938
SPT(16)	2810404628152601269	0 72 130 150 192 238 252 262 270 280 294 340 382 402 460 532	883241273408