Prime p₀= 1126459072514935301 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: crashtech
db: batch=76, k=10, 2 4 2 10 2

STPT(10)	1126458069072448109	0 2 48 50 90 92 132 134 180 182	-1003442487192
TPT(14)	1126458248782787951	0 2 18 20 60 62 90 92 156 158 240 242 258 260	-823732147350
TPT(14)	1126458481922274047	0 2 30 32 150 152 204 206 222 224 282 284 294 296	-590592661254
TPT(14)	1126458687065303507	0 2 60 62 102 104 180 182 210 212 264 266 282 284	-385449631794
SPT(16)	1126458754850736679	0 28 72 82 114 142 144 154 198 208 210 238 270 280 324 352	-317664198622
STPT(10)	1126458888428458139	0 2 42 44 60 62 78 80 120 122	-184086477162
SPT(16)	1126459297600138309	0 22 70 90 118 148 162 178 192 208 222 252 280 300 348 370	225085203008
SPT(18)	1126459544965176013	0 34 64 76 96 118 126 148 160 174 186 208 216 238 258 270 300 334	472450240712
SPT(16)	1126459675974170927	0 6 36 90 110 126 132 174 182 224 230 246 266 320 350 356	603459235626
SPT(16)	1126460033854931053	0 24 46 126 144 154 178 220 264 306 330 340 358 438 460 484	961339995752
SPT(16)	1126460240368457237	0 24 26 62 132 182 216 260 276 320 354 404 474 510 512 536	1167853521936