Prime p₀= 2367509543560521317 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: herby44
db: batch=81, k=10, 2 22 2 16 2

TPT(14)	2367508221225976091	0 2 48 50 90 92 96 98 180 182 228 230 258 260	-1322334545226
STPT(10)	2367508761589399427	0 2 24 26 42 44 60 62 84 86	-781971121890
SPT(16)	2367508776878307869	0 42 44 50 102 140 198 210 302 314 372 410 462 468 470 512	-766682213448
SPT(16)	2367508874650717513	0 28 34 36 66 78 114 130 174 190 226 238 268 270 276 304	-668909803804
STPT(10)	2367509085959055089	0 2 18 20 60 62 102 104 120 122	-457601466228
STPT(10)	2367509127072866141	0 2 30 32 78 80 126 128 156 158	-416487655176
SPT(16)	2367510424766574481	0 6 16 76 78 108 136 150 196 210 238 268 270 330 340 346	881206053164
SPT(16)	2367510830755983527	0 6 26 60 90 110 132 146 150 164 186 206 236 270 290 296	1287195462210
SPT(16)	2367510959814878609	0 62 84 90 92 98 132 134 138 140 174 180 182 188 210 272	1416254357292
STPT(10)	2367511058488286297	0 2 30 32 72 74 114 116 144 146	1514927764980
STPT(10)	2367511073925156449	0 2 12 14 90 92 168 170 180 182	1530364635132