Prime p₀= 2356494972959489567 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 70 2 28 2 28 2 70 2 (?)
a_n: 0 2 72 74 102 104 132 134 204 206
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: 206
Found by: Orange Kid
db: batch=81, k=10, 2 70 2 28 2

STPT(12)	2356493406519279611	0 2 6 8 78 80 138 140 210 212 216 218	-1566440209956
STPT(10)	2356493682441989999	0 2 18 20 30 32 42 44 60 62	-1290517499568
STPT(10)	2356493764836277271	0 2 6 8 18 20 30 32 36 38	-1208123212296
STPT(10)	2356494176951324867	0 2 30 32 72 74 114 116 144 146	-796008164700
SPT(16)	2356494867389471491	0 18 46 88 132 168 180 196 222 238 250 286 330 372 400 418	-105570018076
STPT(10)	2356494948781103129	0 2 18 20 30 32 42 44 60 62	-24178386438
SPT(16)	2356495330134121639	0 12 24 28 42 78 112 124 138 150 184 220 234 238 250 262	357174632072
STPT(10)	2356495565865411041	0 2 30 32 78 80 126 128 156 158	592905921474
STPT(10)	2356495600655417231	0 2 6 8 48 50 90 92 96 98	627695927664
STPT(10)	2356495682686470509	0 2 18 20 30 32 42 44 60 62	709726980942
SPT(16)	2356495723616016739	0 12 30 40 78 102 108 142 150 184 190 214 252 262 280 292	750656527172