Prime p₀= 2341163626331182337 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: eclipse99
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2341162459226876017	0 6 36 42 52 66 76 120 166 210 220 234 244 250 280 286	-1167104306320
STPT(10)	2341162487370022439	0 2 12 14 30 32 48 50 60 62	-1138961159898
STPT(10)	2341162664888197061	0 2 6 8 18 20 30 32 36 38	-961442985276
SPT(16)	2341162691341175677	0 40 42 52 54 66 150 154 192 196 280 292 294 304 306 346	-934990006660
SPT(16)	2341163146276838483	0 56 78 150 168 194 204 234 260 290 300 326 344 416 438 494	-480054343854
SPT(16)	2341163286353644981	0 22 28 76 126 142 148 172 186 210 216 232 282 330 336 358	-339977537356
SPT(16)	2341163986405838441	0 26 56 72 96 102 128 138 200 210 236 242 266 282 312 338	360074656104
STPT(10)	2341164263613860327	0 2 30 32 42 44 54 56 84 86	637282677990
TPT(14)	2341164386499407531	0 2 18 20 30 32 96 98 168 170 210 212 336 338	760168225194
TPT(14)	2341164625582900487	0 2 54 56 84 86 144 146 210 212 282 284 294 296	999251718150
SPT(16)	2341164744078629423	0 6 14 38 54 96 104 126 188 210 218 260 276 300 308 314	1117747447086