Prime p₀= 2343760730253499787 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: Landjunge
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2343759652393419913	0 6 60 70 78 90 120 130 144 154 184 196 204 214 268 274	-1077860079874
TPT(14)	2343759653628180497	0 2 24 26 84 86 150 152 162 164 204 206 210 212	-1076625319290
STPT(10)	2343759662629278317	0 2 30 32 72 74 114 116 144 146	-1067624221470
SPT(16)	2343760193352895439	0 2 24 68 78 110 114 132 170 188 192 224 234 278 300 302	-536900604348
SPT(16)	2343760410325223927	0 6 30 36 56 86 140 174 212 246 300 330 350 356 380 386	-319928275860
SPT(16)	2343760541917851127	0 10 52 60 102 154 156 166 240 250 252 304 346 354 396 406	-188335648660
SPT(18)	2343760822320748739	0 12 30 72 90 102 150 198 392 408 602 650 698 710 728 770 788 800	92067248952
SPT(16)	2343761649952994587	0 10 30 42 70 96 106 154 192 240 250 276 304 316 336 346	919699494800
STPT(10)	2343762027817344749	0 2 18 20 30 32 42 44 60 62	1297563844962
SPT(16)	2343762690816399557	0 14 80 104 110 122 132 146 180 194 204 216 222 246 312 326	1960562899770
STPT(10)	2343762733649638451	0 2 66 68 138 140 210 212 276 278	2003396138664