Prime p₀= 2782805542840998317 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: [SG-FC] hl
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2782803372992429263	0 60 78 124 144 166 208 234 250 276 318 340 360 406 424 484	-2169848569054
STPT(12)	2782804074159802151	0 2 18 20 60 62 96 98 138 140 156 158	-1468681196166
SPT(16)	2782804403119714367	0 42 80 84 140 144 150 170 186 206 212 216 272 276 314 356	-1139721283950
SPT(16)	2782804408638531943	0 30 120 154 240 246 250 294 376 420 424 430 516 550 640 670	-1134202466374
STPT(10)	2782805112828707969	0 2 30 32 60 62 90 92 120 122	-430012290348
SPT(16)	2782805193174115597	0 10 12 22 34 66 102 124 132 154 190 222 234 244 246 256	-349666882720
SPT(16)	2782805795799765893	0 26 44 54 66 68 104 134 210 240 276 278 290 300 318 344	252958767576
STPT(10)	2782806170987586167	0 2 54 56 72 74 90 92 144 146	628146587850
SPT(16)	2782806475891508159	0 78 80 92 132 170 192 210 212 230 252 290 330 342 344 422	933050509842
SPT(16)	2782806520342994413	0 34 94 130 144 198 210 214 240 244 256 310 324 360 420 454	977501996096
SPT(16)	2782807080935822009	0 14 18 20 24 38 62 84 128 150 174 188 192 194 198 212	1538094823692