Prime p₀= 2309397476260371137 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 88 2 88 2 40 2 (?)
a_n: 0 2 42 44 132 134 222 224 264 266
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: 266
Found by: Landjunge
db: batch=81, k=10, 2 40 2 88 2

SPT(16)	2309396734070311001	0 2 8 56 68 72 96 158 180 242 266 270 282 330 336 338	-742190060136
SPT(16)	2309396803302384469	0 22 100 112 130 142 160 172 312 324 342 354 372 384 462 484	-672957986668
STPT(10)	2309396929265438237	0 2 30 32 42 44 54 56 84 86	-546994932900
SPT(16)	2309396944103063363	0 38 44 50 66 86 98 164 180 246 258 278 294 300 306 344	-532157307774
SPT(16)	2309396969870541469	0 42 52 72 84 88 90 120 142 172 174 178 190 210 220 262	-506389829668
SPT(16)	2309397313538838161	0 30 36 48 56 108 170 198 218 246 308 360 368 380 386 416	-162721532976
SPT(16)	2309397598400576029	0 52 84 112 150 162 180 202 210 232 250 262 300 328 360 412	122140204892
STPT(10)	2309397986922337637	0 2 30 32 42 44 54 56 84 86	510661966500
TPT(14)	2309398836290616491	0 2 66 68 78 80 108 110 120 122 126 128 198 200	1360030245354
STPT(10)	2309399119133600267	0 2 54 56 72 74 90 92 144 146	1642873229130
STPT(10)	2309399336541721157	0 2 30 32 42 44 54 56 84 86	1860281350020