Prime p₀= 2015459414037270959 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: Time_Traveler
db: batch=80, k=10, 2 16 2 10 2

SPT(16)	2015458368158321533	0 6 16 58 76 84 88 100 144 156 160 168 186 228 238 244	-1045878949426
STPT(10)	2015458432154222351	0 2 6 8 18 20 30 32 36 38	-981883048608
STPT(12)	2015458494276514277	0 2 12 14 42 44 102 104 132 134 144 146	-919760756682
STPT(10)	2015458622605388837	0 2 30 32 60 62 90 92 120 122	-791431882122
SPT(16)	2015459026577069209	0 54 64 70 78 82 100 114 148 162 180 184 192 198 208 262	-387460201750
STPT(10)	2015459308937579801	0 2 6 8 18 20 30 32 36 38	-105099691158
STPT(10)	2015459836711020377	0 2 30 32 42 44 54 56 84 86	422673749418
STPT(10)	2015460383407130237	0 2 30 32 42 44 54 56 84 86	969369859278
SPT(16)	2015460876280140073	0 46 88 100 136 144 166 178 186 198 220 228 264 276 318 364	1462242869114
SPT(16)	2015461183823301667	0 4 12 66 126 144 150 154 162 166 172 190 250 304 312 316	1769786030708
STPT(10)	2015461383237313631	0 2 6 8 48 50 90 92 96 98	1969200042672