Prime p₀= 1424855536024933697 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: [AF>Libristes] Elorak
db: batch=78, k=10, 2 22 2 16 2

TPT(14)	1424854954596541397	0 2 12 14 72 74 180 182 222 224 270 272 294 296	-581428392300
STPT(10)	1424855038230637511	0 2 36 38 78 80 120 122 156 158	-497794296186
TPT(14)	1424855098819214759	0 2 72 74 90 92 102 104 168 170 180 182 210 212	-437205718938
SPT(16)	1424855198730537949	0 4 88 90 102 160 168 202 300 334 342 400 412 414 498 502	-337294395748
SPT(16)	1424855207406924109	0 12 82 90 112 120 150 202 222 274 304 312 334 342 412 424	-328618009588
STPT(10)	1424855355131559269	0 2 78 80 120 122 162 164 240 242	-180893374428
STPT(10)	1424855673730573697	0 2 30 32 42 44 54 56 84 86	137705640000
STPT(10)	1424855883412504061	0 2 36 38 78 80 120 122 156 158	347387570364
STPT(10)	1424855884286635907	0 2 72 74 162 164 252 254 324 326	348261702210
SPT(16)	1424855909796714517	0 36 70 82 84 96 124 156 160 192 220 232 234 246 280 316	373771780820
STPT(10)	1424856055811518541	0 2 30 32 78 80 126 128 156 158	519786584844