Prime p₀= 2377425145781425709 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 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: Landjunge
db: batch=81, k=10, 2 10 2 16 2

STPT(10)	2377424857085851091	0 2 36 38 78 80 120 122 156 158	-288695574618
SPT(16)	2377424986408481587	0 30 34 36 40 54 144 160 210 226 316 330 334 336 340 370	-159372944122
STPT(12)	2377425000525040439	0 2 30 32 72 74 78 80 120 122 150 152	-145256385270
SPT(16)	2377425016987212529	0 30 58 60 84 94 130 142 150 162 198 208 232 234 262 292	-128794213180
SPT(16)	2377425076925550101	0 2 8 66 86 90 92 98 150 156 158 162 182 240 246 248	-68855875608
SPT(16)	2377425108653919923	0 44 68 74 84 188 198 236 258 296 306 410 420 426 450 494	-37127505786
SPT(16)	2377425786326973769	0 84 90 148 162 168 184 234 238 288 304 310 324 382 388 472	640545548060
STPT(10)	2377425828931078769	0 2 18 20 30 32 42 44 60 62	683149653060
SPT(16)	2377426156085318851	0 58 60 66 90 162 178 192 196 210 226 298 322 328 330 388	1010303893142
TPT(14)	2377426255932629831	0 2 180 182 228 230 270 272 306 308 348 350 408 410	1110151204122
SPT(16)	2377426332013847867	0 2 26 36 54 56 86 132 134 180 210 212 230 240 264 266	1186232422158