Prime p₀= 2322130049472812609 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: Orange Kid
db: batch=81, k=10, 2 16 2 10 2

STPT(10)	2322127304958401921	0 2 30 32 78 80 126 128 156 158	-2744514410688
SPT(16)	2322127720866250049	0 8 42 60 62 74 84 110 162 188 198 210 212 230 264 272	-2328606562560
STPT(10)	2322128776142981987	0 2 30 32 42 44 54 56 84 86	-1273329830622
STPT(10)	2322128901279876539	0 2 48 50 90 92 132 134 180 182	-1148192936070
STPT(10)	2322128954193704471	0 2 6 8 48 50 90 92 96 98	-1095279108138
SPT(16)	2322129126470136677	0 2 12 14 56 66 80 92 114 126 140 150 192 194 204 206	-923002675932
SPT(16)	2322131177732339021	0 38 42 60 66 68 86 116 192 222 240 242 248 266 270 308	1128259526412
TPT(14)	2322131211253158761	0 2 30 32 66 68 78 80 96 98 108 110 150 152	1161780346152
STPT(10)	2322131729830769807	0 2 30 32 42 44 54 56 84 86	1680357957198
STPT(10)	2322131792145927887	0 2 30 32 72 74 114 116 144 146	1742673115278
TPT(14)	2322131932490519837	0 2 72 74 114 116 162 164 210 212 240 242 384 386	1883017707228