Prime p₀= 2144096924589443597 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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=80, k=10, 2 10 2 58 2

STPT(10)	2144095301518452011	0 2 36 38 78 80 120 122 156 158	-1623070991586
SPT(16)	2144095775070660703	0 6 10 24 36 54 78 106 138 166 190 208 220 234 238 244	-1149518782894
SPT(16)	2144096218169034551	0 158 212 246 288 296 300 308 360 368 372 380 422 456 510 668	-706420409046
SPT(16)	2144096342631140977	0 16 34 100 102 106 114 156 160 202 210 214 216 282 300 316	-581958302620
SPT(16)	2144096480254694327	0 24 36 62 84 102 146 162 164 180 224 242 264 290 302 326	-444334749270
STPT(10)	2144096726739019139	0 2 42 44 90 92 138 140 180 182	-197850424458
STPT(10)	2144096935489769147	0 2 24 26 42 44 60 62 84 86	10900325550
SPT(16)	2144097091525307447	0 14 44 50 72 176 216 222 254 260 300 404 426 432 462 476	166935863850
STPT(10)	2144097298193533517	0 2 30 32 102 104 174 176 204 206	373604089920
STPT(10)	2144097548497524671	0 2 6 8 18 20 30 32 36 38	623908081074
SPT(16)	2144097602676794293	0 28 34 88 100 118 154 198 226 270 306 324 336 390 396 424	678087350696