Prime p₀= 2837376804158096279 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 10 2 10 2 46 2 (?)
a_n: 0 2 48 50 60 62 72 74 120 122
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: 122
Found by: Landjunge
db: batch=82, k=10, 2 46 2 10 2

STPT(10)	2837376221091646007	0 2 12 14 72 74 132 134 144 146	-583066450272
STPT(10)	2837376277493754431	0 2 30 32 120 122 210 212 240 242	-526664341848
SPT(16)	2837376444572697403	0 4 10 24 78 88 120 154 210 244 276 286 340 354 360 364	-359585398876
STPT(10)	2837376576472255799	0 2 42 44 60 62 78 80 120 122	-227685840480
STPT(10)	2837376577937254277	0 2 12 14 42 44 72 74 84 86	-226220842002
STPT(10)	2837376706271768489	0 2 12 14 90 92 168 170 180 182	-97886327790
SPT(16)	2837377097093661943	0 28 30 108 150 186 228 256 300 328 370 406 448 526 528 556	292935565664
TPT(14)	2837377103028569951	0 2 48 50 90 92 126 128 150 152 168 170 258 260	298870473672
SPT(16)	2837377326426106979	0 78 158 170 180 182 188 224 258 294 300 302 312 324 404 482	522268010700
SPT(16)	2837377347114244691	0 30 32 50 80 98 108 116 162 170 180 198 228 246 248 278	542956148412
TPT(14)	2837377383140640917	0 2 120 122 150 152 300 302 504 506 582 584 720 722	578982544638