Prime p₀= 2396953402643204927 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 88 2 40 2 40 2 88 2 (?)
a_n: 0 2 90 92 132 134 174 176 264 266
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: 266
Found by: [SG-2W]Kurzer
db: batch=81, k=10, 2 88 2 40 2

SPT(16)	2396952093118525519	0 30 48 54 82 142 180 202 240 262 300 360 388 394 412 442	-1309524679408
SPT(16)	2396952131722080727	0 6 40 166 174 190 214 244 252 282 306 322 330 456 490 496	-1270921124200
SPT(16)	2396952906576238931	0 18 26 30 48 60 98 138 230 270 308 320 338 342 350 368	-496066965996
TPT(14)	2396953004359218341	0 2 126 128 168 170 288 290 306 308 330 332 348 350	-398283986586
SPT(16)	2396953012743839819	0 14 20 38 62 92 98 120 152 174 180 210 234 252 258 272	-389899365108
TPT(14)	2396953344360064277	0 2 30 32 54 56 60 62 72 74 102 104 132 134	-58283140650
STPT(10)	2396953745280478121	0 2 78 80 108 110 138 140 216 218	342637273194
SPT(16)	2396954084267083849	0 18 22 48 58 78 82 88 114 120 124 144 154 180 184 202	681623878922
STPT(10)	2396954364542762117	0 2 30 32 60 62 90 92 120 122	961899557190
SPT(16)	2396954599829221709	0 44 60 78 120 128 170 200 222 252 294 302 344 362 378 422	1197186016782
SPT(16)	2396954880609497629	0 10 12 22 40 54 82 88 144 150 178 192 210 220 222 232	1477966292702