Prime p₀= 2177834428877889809 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: Penguin
db: batch=81, k=10, 2 16 2 10 2

STPT(12)	2177832556970102507	0 2 12 14 54 56 60 62 102 104 114 116	-1871907787302
SPT(16)	2177832796840846801	0 10 28 66 76 78 88 90 106 108 118 120 130 168 186 196	-1632037043008
SPT(16)	2177833106802856939	0 28 42 88 102 112 120 130 132 142 150 160 174 220 234 262	-1322075032870
STPT(10)	2177833234992740861	0 2 6 8 48 50 90 92 96 98	-1193885148948
STPT(10)	2177833604661771149	0 2 30 32 60 62 90 92 120 122	-824216118660
SPT(16)	2177833653500728877	0 2 30 80 86 120 134 140 156 162 176 210 216 266 294 296	-775377160932
SPT(16)	2177834816923058099	0 50 74 170 174 204 210 228 314 332 338 368 372 468 492 542	388045168290
STPT(10)	2177835037885227701	0 2 36 38 78 80 120 122 156 158	609007337892
STPT(10)	2177835067237090307	0 2 54 56 72 74 90 92 144 146	638359200498
SPT(16)	2177835275517783943	0 24 28 40 64 66 124 130 144 150 208 210 234 246 250 274	846639894134
SPT(16)	2177835763251226259	0 2 30 68 98 150 152 158 192 198 200 252 282 320 348 350	1334373336450