Prime p₀= 1058179037780772959 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: Theadalus
db: batch=76, k=10, 2 16 2 10 2

STPT(10)	1058177643414863297	0 2 30 32 42 44 54 56 84 86	-1394365909662
SPT(16)	1058177643741766831	0 28 40 82 90 108 160 178 192 210 262 280 288 330 342 370	-1394039006128
SPT(16)	1058177834386056247	0 42 66 90 94 96 142 154 162 174 220 222 226 250 274 316	-1203394716712
STPT(10)	1058177988842826749	0 2 18 20 30 32 42 44 60 62	-1048937946210
SPT(16)	1058178356251748971	0 10 12 18 46 52 66 96 142 172 186 192 220 226 228 238	-681529023988
STPT(10)	1058178550774946477	0 2 30 32 60 62 90 92 120 122	-487005826482
SPT(16)	1058179103885759197	0 60 82 94 130 132 160 196 240 276 304 306 342 354 376 436	66104986238
STPT(10)	1058179318541265617	0 2 30 32 72 74 114 116 144 146	280760492658
STPT(10)	1058179724645892347	0 2 42 44 72 74 102 104 144 146	686865119388
STPT(10)	1058179868961141317	0 2 30 32 42 44 54 56 84 86	831180368358
SPT(16)	1058179913968362919	0 10 18 52 88 90 108 130 132 154 172 174 210 244 252 262	876187589960