Prime p₀= 1856531306054142857 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: suriv
db: batch=79, k=10, 2 10 2 28 2

SPT(16)	1856530193919516217	0 12 34 40 70 76 90 102 154 166 180 186 216 222 244 256	-1112134626640
SPT(16)	1856530224307658083	0 6 46 48 60 84 100 118 126 144 160 184 196 198 238 244	-1081746484774
STPT(10)	1856530666336368401	0 2 36 38 78 80 120 122 156 158	-639717774456
SPT(16)	1856530710503678351	0 30 62 120 126 132 140 156 176 192 200 206 212 270 302 332	-595550464506
STPT(10)	1856530835264359997	0 2 30 32 42 44 54 56 84 86	-470789782860
STPT(10)	1856531091786746327	0 2 30 32 42 44 54 56 84 86	-214267396530
STPT(10)	1856531334833390627	0 2 24 26 42 44 60 62 84 86	28779247770
SPT(16)	1856531499833569463	0 20 84 156 164 198 204 224 240 260 266 300 308 380 444 464	193779426606
SPT(16)	1856531631495535861	0 10 16 40 60 76 88 96 172 180 192 208 228 252 258 268	325441393004
STPT(10)	1856532903500214827	0 2 30 32 42 44 54 56 84 86	1597446071970
TPT(14)	1856533156016440787	0 2 42 44 54 56 90 92 174 176 240 242 342 344	1849962297930