Prime p₀= 2539167387205985069 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 88 2 88 2 28 2 (?)
a_n: 0 2 30 32 120 122 210 212 240 242
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: 242
Found by: Penguin
db: batch=82, k=10, 2 28 2 88 2

SPT(16)	2539165545239974873	0 4 6 120 136 144 180 186 238 244 280 288 304 418 420 424	-1841966010196
STPT(10)	2539166637099420899	0 2 18 20 30 32 42 44 60 62	-750106564170
SPT(16)	2539167122032554401	0 26 38 62 66 108 122 128 150 156 170 212 216 240 252 278	-265173430668
SPT(16)	2539167180385620881	0 6 68 98 110 120 126 176 180 230 236 246 258 288 350 356	-206820364188
SPT(16)	2539167205225291073	0 68 90 110 114 138 140 198 206 264 266 290 294 314 336 404	-181980693996
TPT(16)	2539167330615839081	0 2 90 92 138 140 156 158 198 200 210 212 240 242 306 308	-56590145988
SPT(16)	2539167399478229027	0 6 14 84 114 144 156 200 210 254 266 296 326 396 404 410	12272243958
TPT(14)	2539167402269011847	0 2 12 14 54 56 60 62 90 92 102 104 114 116	15063026778
SPT(16)	2539167440128689529	0 24 48 52 70 84 148 150 262 264 328 342 360 364 388 412	52922704460
SPT(16)	2539167589063692907	0 34 52 94 166 190 196 210 256 270 276 300 372 414 432 466	201857707838
SPT(16)	2539167740830881943	0 46 66 126 156 178 198 238 258 298 318 340 370 430 450 496	353624896874