Prime p₀= 2637368808227180057 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: RFGuy_KCCO
db: batch=82, k=10, 2 28 2 28 2

SPT(16)	2637367797735730679	0 42 72 110 144 182 224 228 254 258 300 338 372 410 440 482	-1010491449378
STPT(10)	2637368179366367231	0 2 36 38 78 80 120 122 156 158	-628860812826
SPT(16)	2637368199371928787	0 30 130 136 144 156 162 190 276 304 310 322 330 336 436 466	-608855251270
TPT(14)	2637368378764430429	0 2 18 20 30 32 60 62 138 140 150 152 222 224	-429462749628
TPT(14)	2637368639334693389	0 2 168 170 180 182 312 314 318 320 438 440 462 464	-168892486668
STPT(10)	2637368802395075891	0 2 6 8 18 20 30 32 36 38	-5832104166
SPT(16)	2637368929258929377	0 42 50 66 92 140 156 162 290 296 312 360 386 402 410 452	121031749320
SPT(16)	2637369068105374483	0 46 60 88 90 124 180 184 210 214 270 304 306 334 348 394	259878194426
SPT(16)	2637369437486911159	0 22 48 60 114 118 172 184 258 270 324 328 382 394 420 442	629259731102
TPT(14)	2637369522144931127	0 2 54 56 72 74 114 116 162 164 234 236 240 242	713917751070
SPT(16)	2637370028109388519	0 30 78 94 124 132 162 184 258 280 310 318 348 364 412 442	1219882208462