Prime p₀= 2868996259200918311 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 58 2 58 2 46 2 (?)
a_n: 0 2 48 50 108 110 168 170 216 218
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: 218
Found by: Time_Traveler
db: batch=82, k=10, 2 46 2 58 2

SPT(16)	2868995671708942717	0 12 16 36 76 90 100 102 184 186 196 210 250 270 274 286	-587491975594
SPT(16)	2868995763751082503	0 4 6 28 88 90 156 196 198 238 304 306 366 388 390 394	-495449835808
TPT(14)	2868995941774826837	0 2 30 32 54 56 114 116 180 182 294 296 360 362	-317426091474
SPT(16)	2868995977601010749	0 38 50 60 74 84 140 150 218 228 284 294 308 318 330 368	-281599907562
SPT(16)	2868996172028738047	0 22 36 60 66 102 126 130 132 136 160 196 202 226 240 262	-87172180264
STPT(10)	2868996185531879717	0 2 30 32 42 44 54 56 84 86	-73669038594
SPT(16)	2868996504048821761	0 42 96 108 112 138 168 192 226 250 280 306 310 322 376 418	244847903450
STPT(10)	2868996753840116951	0 2 6 8 18 20 30 32 36 38	494639198640
SPT(16)	2868996831868539529	0 100 108 120 174 180 208 210 232 234 262 268 322 334 342 442	572667621218
STPT(10)	2868997197685700759	0 2 18 20 30 32 42 44 60 62	938484782448
STPT(10)	2868997425798642107	0 2 54 56 72 74 90 92 144 146	1166597723796