Prime p₀= 2561347215443685839 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: matsu_pl
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2561346182298012839	0 2 32 60 78 120 134 158 174 198 212 254 272 300 330 332	-1033145673000
STPT(10)	2561346316684179371	0 2 6 8 48 50 90 92 96 98	-898759506468
TPT(14)	2561346384160654589	0 2 30 32 228 230 252 254 270 272 288 290 300 302	-831283031250
SPT(16)	2561346486974508031	0 22 28 58 130 162 186 196 222 232 256 288 360 390 396 418	-728469177808
SPT(16)	2561346644265029807	0 6 32 62 96 120 132 174 182 224 236 260 294 324 350 356	-571178656032
SPT(16)	2561346964041094241	0 12 18 90 132 150 152 180 188 216 218 236 278 350 356 368	-251402591598
SPT(16)	2561347449151238017	0 22 34 70 76 96 100 112 174 186 190 210 216 252 264 286	233707552178
STPT(10)	2561347558363218017	0 2 30 32 42 44 54 56 84 86	342919532178
STPT(10)	2561348313281659817	0 2 24 26 42 44 60 62 84 86	1097837973978
SPT(16)	2561348366168315593	0 30 48 58 90 100 108 114 214 220 228 238 270 280 298 328	1150724629754
SPT(16)	2561348713342485863	0 38 54 80 84 98 104 128 210 234 240 254 258 284 300 338	1497898800024