Prime p₀= 2145319438682651909 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Landjunge
db: batch=80, k=10, 2 16 2 10 2

SPT(16)	2145318627678565903	0 16 58 90 120 144 174 198 256 280 310 334 364 396 438 454	-811004086006
STPT(10)	2145319159998705737	0 2 12 14 72 74 132 134 144 146	-278683946172
SPT(16)	2145319284648222677	0 2 14 26 30 36 102 114 122 134 200 206 210 222 234 236	-154034429232
SPT(16)	2145319297877972561	0 38 42 80 90 98 108 132 158 182 192 200 210 248 252 290	-140804679348
SPT(16)	2145319383154774727	0 54 90 96 104 134 164 174 182 192 222 252 260 266 302 356	-55527877182
SPT(16)	2145319405932085417	0 12 16 40 90 136 154 180 196 222 240 286 336 360 364 376	-32750566492
SPT(16)	2145319991330751869	0 50 54 90 240 270 272 362 372 462 464 494 644 680 684 734	552648099960
SPT(16)	2145320022100857541	0 58 90 108 132 162 168 202 228 262 268 298 322 340 372 430	583418205632
STPT(10)	2145320292419655929	0 2 42 44 90 92 138 140 180 182	853737004020
SPT(16)	2145320314934692967	0 14 24 36 74 80 84 114 122 152 156 162 200 212 222 236	876252041058
STPT(10)	2145320321142678479	0 2 48 50 60 62 72 74 120 122	882460026570