Prime p₀= 2154271247216037137 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: Landjunge
db: batch=81, k=10, 2 22 2 16 2

TPT(14)	2154268797967237709	0 2 30 32 60 62 90 92 102 104 132 134 162 164	-2449248799428
STPT(12)	2154268797967237739	0 2 30 32 60 62 72 74 102 104 132 134	-2449248799398
STPT(10)	2154269337967118087	0 2 60 62 72 74 84 86 144 146	-1909248919050
STPT(10)	2154269735475073421	0 2 6 8 18 20 30 32 36 38	-1511740963716
SPT(16)	2154269776195407181	0 28 42 48 90 100 108 132 136 160 168 178 220 226 240 268	-1471020629956
TPT(14)	2154270523354699817	0 2 12 14 72 74 84 86 90 92 114 116 132 134	-723861337320
STPT(10)	2154271705228080671	0 2 36 38 78 80 120 122 156 158	458012043534
SPT(16)	2154271706538261727	0 4 16 30 60 130 174 226 240 292 336 406 436 450 462 466	459322224590
STPT(10)	2154272146748868647	0 2 54 56 72 74 90 92 144 146	899532831510
STPT(10)	2154272266971221321	0 2 66 68 138 140 210 212 276 278	1019755184184
SPT(16)	2154273085734582511	0 6 28 46 52 72 100 112 156 168 196 216 222 240 262 268	1838518545374