Prime p₀= 2303424726792531647 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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 28 2 10 2

STPT(10)	2303423510550355859	0 2 78 80 120 122 162 164 240 242	-1216242175788
SPT(16)	2303423749269392819	0 12 20 42 110 128 138 164 198 224 234 252 320 342 350 362	-977523138828
STPT(10)	2303423922803743799	0 2 12 14 90 92 168 170 180 182	-803988787848
SPT(16)	2303424001213168133	0 48 110 138 144 174 216 224 240 248 290 320 326 354 416 464	-725579363514
TPT(14)	2303424649678850147	0 2 72 74 84 86 102 104 114 116 132 134 162 164	-77113681500
SPT(16)	2303424715879690703	0 18 54 150 156 158 164 198 266 300 306 308 314 410 446 464	-10912840944
SPT(16)	2303425176713090029	0 4 22 34 70 118 150 160 162 172 204 252 288 300 318 322	449920558382
SPT(16)	2303425406122951469	0 30 42 62 84 102 108 128 144 164 170 188 210 230 242 272	679330419822
STPT(10)	2303425647896544287	0 2 30 32 42 44 54 56 84 86	921104012640
SPT(16)	2303425760269959001	0 18 40 42 46 52 136 150 208 222 306 312 316 318 340 358	1033477427354
STPT(10)	2303425931680182191	0 2 36 38 78 80 120 122 156 158	1204887650544