Prime p₀= 2113117676782791821 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: Landjunge
db: batch=80, k=10, 2 4 2 10 2

SPT(16)	2113117058652801919	0 34 84 130 180 204 210 214 330 334 340 364 414 460 510 544	-618129989902
SPT(16)	2113117304297213633	0 6 20 24 44 56 68 90 104 126 138 150 170 174 188 194	-372485578188
STPT(10)	2113117408426415747	0 2 42 44 72 74 102 104 144 146	-268356376074
SPT(16)	2113117488068423299	0 28 30 40 64 82 84 100 162 178 180 198 222 232 234 262	-188714368522
SPT(16)	2113117493888850737	0 30 66 74 80 114 150 156 170 176 212 246 252 260 296 326	-182893941084
SPT(16)	2113117584329944741	0 28 70 76 118 120 136 156 160 180 196 198 240 246 288 316	-92452847080
STPT(10)	2113117932234721829	0 2 18 20 30 32 42 44 60 62	255451930008
SPT(16)	2113117967777328751	0 18 22 40 42 70 126 172 186 232 288 316 318 336 340 358	290994536930
STPT(10)	2113118154275468279	0 2 18 20 30 32 42 44 60 62	477492676458
STPT(10)	2113118431898971967	0 2 30 32 42 44 54 56 84 86	755116180146
SPT(16)	2113118557619582719	0 40 48 52 82 90 160 162 238 240 310 318 348 352 360 400	880836790898