Prime p₀= 2362623426815862167 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
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: 146
Found by: Landjunge
db: batch=81, k=10, 2 58 2 10 2

STPT(10)	2362622544898623149	0 2 18 20 30 32 42 44 60 62	-881917239018
SPT(16)	2362623038182600381	0 52 66 70 82 112 126 136 216 226 240 270 282 286 300 352	-388633261786
SPT(16)	2362623212411271521	0 8 18 20 38 90 108 126 200 218 236 288 306 308 318 326	-214404590646
STPT(10)	2362623259922898359	0 2 78 80 210 212 342 344 420 422	-166892963808
SPT(16)	2362623359093496529	0 4 10 34 42 70 90 118 144 172 192 220 228 252 258 262	-67722365638
SPT(16)	2362623383900306909	0 2 54 68 78 92 98 110 162 174 180 194 204 218 270 272	-42915555258
SPT(16)	2362623492827183371	0 10 16 30 48 66 76 88 90 102 112 130 148 162 168 178	66011321204
SPT(16)	2362623551750781841	0 40 70 90 96 106 120 190 228 298 312 322 328 348 378 418	124934919674
STPT(10)	2362623998746336277	0 2 30 32 42 44 54 56 84 86	571930474110
SPT(16)	2362624170912376801	0 28 42 82 96 108 156 166 222 232 280 292 306 346 360 388	744096514634
SPT(16)	2362624242114570337	0 16 54 66 112 114 142 150 406 414 442 444 490 502 540 556	815298708170