Prime p₀= 2965886691445102301 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: [AF>Le_Pommier] Jerome_C2005
db: batch=82, k=10, 2 28 2 28 2

SPT(16)	2965885545823716419	0 24 60 78 128 150 164 192 260 288 302 324 374 392 428 452	-1145621385882
STPT(10)	2965885555178907587	0 2 30 32 72 74 114 116 144 146	-1136266194714
SPT(16)	2965885932621102571	0 6 22 28 78 148 178 216 262 300 330 400 450 456 472 478	-758823999730
TPT(14)	2965886017578475841	0 2 36 38 78 80 120 122 126 128 150 152 180 182	-673866626460
STPT(10)	2965886342109980291	0 2 30 32 60 62 90 92 120 122	-349335122010
SPT(16)	2965886422676981201	0 26 38 62 72 110 116 158 180 222 228 266 276 300 312 338	-268768121100
TPT(14)	2965886997085084481	0 2 6 8 78 80 90 92 138 140 168 170 180 182	305639982180
SPT(16)	2965887179747729621	0 18 20 38 60 108 146 198 200 252 290 338 360 378 380 398	488302627320
TPT(14)	2965887409985659517	0 2 24 26 222 224 282 284 360 362 444 446 462 464	718540557216
SPT(16)	2965887442070432723	0 6 104 140 180 224 260 264 266 270 306 350 390 426 524 530	750625330422
TPT(14)	2965887490623048491	0 2 36 38 168 170 288 290 348 350 420 422 498 500	799177946190