Prime p₀= 2156867273185041029 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=81, k=10, 2 16 2 10 2

SPT(16)	2156866387438522801	0 12 16 46 48 72 88 112 186 210 226 250 252 282 286 298	-885746518228
STPT(10)	2156866597141457021	0 2 6 8 18 20 30 32 36 38	-676043584008
SPT(16)	2156866806251910997	0 34 54 76 124 132 142 150 226 234 244 252 300 322 342 376	-466933130032
SPT(16)	2156866815132997999	0 30 40 58 70 82 108 114 118 124 150 162 174 192 202 232	-458052043030
STPT(10)	2156866954777922111	0 2 6 8 48 50 90 92 96 98	-318407118918
STPT(10)	2156867094118997891	0 2 36 38 78 80 120 122 156 158	-179066043138
SPT(16)	2156867295093780019	0 24 72 100 102 142 154 178 234 258 270 310 312 340 388 412	21908738990
SPT(16)	2156867362941488671	0 12 70 88 166 192 220 256 312 348 376 402 480 498 556 568	89756447642
SPT(16)	2156867610220980649	0 40 88 90 108 130 132 192 238 298 300 322 340 342 390 430	337035939620
STPT(10)	2156867659374249761	0 2 30 32 60 62 90 92 120 122	386189208732
STPT(10)	2156867952096809447	0 2 12 14 42 44 72 74 84 86	678911768418