Prime p₀= 798113249642048279 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: schoussi
db: batch=73, k=10, 2 28 2 88 2

SPT(16)	798112354976561531	0 18 36 132 168 188 200 228 260 288 300 320 356 452 470 488	-894665486748
STPT(10)	798112470827657801	0 2 6 8 48 50 90 92 96 98	-778814390478
SPT(16)	798112559478649999	0 22 42 48 64 72 82 108 124 150 160 168 184 190 210 232	-690163398280
TPT(14)	798112707524428997	0 2 42 44 54 56 114 116 120 122 180 182 240 242	-542117619282
SPT(20)	798113042561984837	0 36 50 80 86 140 174 234 242 272 354 384 392 452 486 540 546 576 590 626	-207080063442
SPT(16)	798113191811197303	0 16 30 40 70 94 114 136 144 166 186 210 240 250 264 280	-57830850976
STPT(10)	798113448729053927	0 2 30 32 42 44 54 56 84 86	199087005648
STPT(10)	798113472506980319	0 2 18 20 30 32 42 44 60 62	222864932040
SPT(16)	798113508568821287	0 36 42 56 66 72 134 182 234 282 344 350 360 374 380 416	258926773008
SPT(16)	798113612864656783	0 70 88 114 154 178 190 198 226 234 246 270 310 336 354 424	363222608504
TPT(14)	798113884154076689	0 2 12 14 90 92 192 194 222 224 342 344 378 380	634512028410