Prime p₀= 1578820851458195669 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: xii5ku
db: batch=78, k=10, 2 16 2 10 2

STPT(12)	1578819397180346309	0 2 30 32 42 44 60 62 72 74 102 104	-1454277849360
STPT(10)	1578819797798408621	0 2 30 32 78 80 126 128 156 158	-1053659787048
SPT(16)	1578820142813057953	0 4 48 58 90 118 124 138 160 174 180 208 240 250 294 298	-708645137716
STPT(10)	1578820303302956687	0 2 30 32 42 44 54 56 84 86	-548155238982
SPT(16)	1578820566764475961	0 6 10 58 72 78 108 112 156 160 190 196 210 258 262 268	-284693719708
SPT(16)	1578820726142335721	0 12 26 66 86 92 110 122 126 138 156 162 182 222 236 248	-125315859948
STPT(10)	1578821072716216331	0 2 30 32 60 62 90 92 120 122	221258020662
STPT(10)	1578821292650042801	0 2 6 8 48 50 90 92 96 98	441191847132
SPT(16)	1578821310951367099	0 40 42 52 64 78 84 108 154 178 184 198 210 220 222 262	459493171430
SPT(16)	1578821343465915377	0 12 36 56 86 92 96 104 162 170 174 180 210 230 254 266	492007719708
SPT(16)	1578821416766519351	0 12 72 110 116 152 258 270 308 320 426 462 468 506 566 578	565308323682