Prime p₀= 821680510142150597 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 88 2 88 2 28 2 (?)
a_n: 0 2 30 32 120 122 210 212 240 242
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: 242
Found by: marsinph
db: batch=73, k=10, 2 28 2 88 2

SPT(16)	821678843055548809	0 22 28 42 48 52 78 88 174 184 210 214 220 234 240 262	-1667086601788
STPT(10)	821679041266938497	0 2 30 32 42 44 54 56 84 86	-1468875212100
SPT(16)	821679155969410087	0 6 10 12 16 40 52 126 166 240 252 276 280 282 286 292	-1354172740510
SPT(16)	821679161875627747	0 6 30 40 54 84 94 102 124 132 142 172 186 196 220 226	-1348266522850
TPT(14)	821680108649968697	0 2 42 44 54 56 84 86 150 152 192 194 204 206	-401492181900
TPT(14)	821680227541684829	0 2 42 44 90 92 168 170 180 182 222 224 258 260	-282600465768
SPT(16)	821680813957928747	0 30 42 60 84 92 104 170 186 252 264 272 296 314 326 356	303815778150
SPT(16)	821681712672961849	0 10 18 30 48 78 88 100 120 132 142 172 190 202 210 220	1202530811252
STPT(10)	821681804484461909	0 2 18 20 30 32 42 44 60 62	1294342311312
SPT(16)	821681828469477917	0 2 32 50 60 86 110 120 152 162 186 212 222 240 270 272	1318327327320
SPT(16)	821681890140861523	0 34 54 156 166 184 250 274 300 324 390 408 418 520 540 574	1379998710926