Prime p₀= 2386413965946254987 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: [AF>Libristes] Davlabedave
db: batch=81, k=10, 2 10 2 28 2

SPT(16)	2386413102779175139	0 24 48 70 94 148 178 244 348 414 444 498 522 544 568 592	-863167079848
SPT(16)	2386413408388527109	0 22 72 82 88 100 114 148 204 238 252 264 270 280 330 352	-557557727878
STPT(10)	2386413592514059487	0 2 30 32 42 44 54 56 84 86	-373432195500
SPT(16)	2386413665274132139	0 34 84 90 100 120 130 142 162 174 184 204 214 220 270 304	-300672122848
STPT(10)	2386413744527965907	0 2 30 32 42 44 54 56 84 86	-221418289080
STPT(10)	2386413953568931421	0 2 36 38 78 80 120 122 156 158	-12377323566
SPT(13)	2386414251121049833	0 36 60 78 120 150 168 186 216 258 276 300 336	285174794846
SPT(16)	2386414344611699111	0 2 8 62 72 78 80 108 110 138 140 146 156 210 216 218	378665444124
SPT(16)	2386414432916801561	0 8 26 42 86 96 138 158 180 200 242 252 296 312 330 338	466970546574
STPT(10)	2386414519254431789	0 2 48 50 90 92 132 134 180 182	553308176802
SPT(16)	2386414689876087961	0 82 96 192 252 346 370 412 480 522 546 640 700 796 810 892	723929832974