Prime p₀= 2605553485645254647 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: SEARCHER
db: batch=82, k=10, 2 22 2 16 2

STPT(10)	2605551877275198737	0 2 30 32 42 44 54 56 84 86	-1608370055910
SPT(16)	2605551994714385989	0 10 24 48 60 84 114 130 138 154 184 208 220 244 258 268	-1490930868658
SPT(16)	2605552540312953359	0 14 18 42 60 98 102 104 168 170 174 212 230 254 258 272	-945332301288
TPT(14)	2605552748446581221	0 2 36 38 120 122 156 158 198 200 276 278 288 290	-737198673426
SPT(16)	2605553210466500027	0 12 26 44 54 56 126 140 156 170 240 242 252 270 284 296	-275178754620
TPT(14)	2605553379475405397	0 2 24 26 54 56 174 176 192 194 330 332 390 392	-106169849250
SPT(16)	2605553973066959053	0 6 28 34 88 126 130 168 256 294 298 336 390 396 418 424	487421704406
SPT(16)	2605554145539184417	0 6 30 64 96 166 190 196 210 216 240 310 342 376 400 406	659893929770
SPT(16)	2605554265316258029	0 28 34 54 60 72 88 90 112 114 130 142 148 168 174 202	779671003382
SPT(16)	2605554385912081787	0 56 60 80 86 96 140 176 186 222 266 276 282 302 306 362	900266827140
SPT(16)	2605554558211221493	0 16 30 34 64 78 106 118 186 198 226 240 270 274 288 304	1072565966846