Prime p₀= 3717684966258557387 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 130 2 130 2 28 2 (?)
a_n: 0 2 30 32 162 164 294 296 324 326
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: 326
Found by: [AF] Kalianthys
db: batch=84, k=10, 2 28 2 130 2

SPT(16)	3717683057551469999	0 12 68 72 182 188 222 290 300 368 402 408 518 522 578 590	-1908707087388
STPT(10)	3717683806376304431	0 2 6 8 18 20 30 32 36 38	-1159882252956
SPT(16)	3717683842638537319	0 18 48 52 100 132 168 240 340 412 448 480 528 532 562 580	-1123620020068
SPT(16)	3717684405567221101	0 12 18 48 70 88 102 112 138 148 162 180 202 232 238 250	-560691336286
STPT(12)	3717684743000857709	0 2 12 14 42 44 78 80 108 110 120 122	-223257699678
SPT(16)	3717684747242796613	0 40 48 70 118 166 180 216 280 316 330 378 426 448 456 496	-219015760774
SPT(16)	3717685002785137481	0 38 80 110 128 146 158 248 258 348 360 378 396 426 468 506	36526580094
SPT(16)	3717685270031218679	0 20 32 62 90 144 162 180 182 200 218 272 300 330 342 362	303772661292
STPT(10)	3717686032633210997	0 2 60 62 102 104 144 146 204 206	1066374653610
SPT(16)	3717686568261537623	0 24 108 140 146 174 180 198 206 224 230 258 264 296 380 404	1602002980236
SPT(16)	3717686641307894821	0 10 12 16 46 48 60 118 150 208 220 222 252 256 258 268	1675049337434