Prime p₀= 1856530835264359997 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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 28 2 10 2

SPT(16)	1856529993282341807	0 20 26 36 80 146 174 176 180 182 210 276 320 330 336 356	-841982018190
TPT(14)	1856530170909854819	0 2 78 80 150 152 198 200 210 212 222 224 288 290	-664354505178
SPT(16)	1856530193919516217	0 12 34 40 70 76 90 102 154 166 180 186 216 222 244 256	-641344843780
SPT(16)	1856530224307658083	0 6 46 48 60 84 100 118 126 144 160 184 196 198 238 244	-610956701914
STPT(10)	1856530666336368401	0 2 36 38 78 80 120 122 156 158	-168927991596
SPT(16)	1856530710503678351	0 30 62 120 126 132 140 156 176 192 200 206 212 270 302 332	-124760681646
STPT(10)	1856531091786746327	0 2 30 32 42 44 54 56 84 86	256522386330
STPT(10)	1856531306054142857	0 2 12 14 42 44 72 74 84 86	470789782860
STPT(10)	1856531334833390627	0 2 24 26 42 44 60 62 84 86	499569030630
SPT(16)	1856531499833569463	0 20 84 156 164 198 204 224 240 260 266 300 308 380 444 464	664569209466
SPT(16)	1856531631495535861	0 10 16 40 60 76 88 96 172 180 192 208 228 252 258 268	796231175864