Prime p₀= 2130009164822726657 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: hase
db: batch=80, k=10, 2 28 2 10 2

SPT(16)	2130007585786653619	0 48 102 112 114 138 154 180 202 228 244 268 270 280 334 382	-1579036073038
SPT(18)	2130007669999875499	0 18 42 58 64 72 78 84 88 204 208 214 220 228 234 250 274 292	-1494822851158
STPT(10)	2130007852813175087	0 2 30 32 42 44 54 56 84 86	-1312009551570
SPT(16)	2130008115078757237	0 4 24 34 102 112 130 136 150 156 174 184 252 262 282 286	-1049743969420
SPT(16)	2130008228674035923	0 20 36 78 90 104 140 156 188 204 240 254 266 308 324 344	-936148690734
STPT(10)	2130008864048428511	0 2 36 38 78 80 120 122 156 158	-300774298146
SPT(16)	2130009388719991417	0 16 66 100 172 216 220 240 256 276 280 324 396 430 480 496	223897264760
SPT(16)	2130009493635152627	0 50 54 56 66 80 92 116 120 144 156 170 180 182 186 236	328812425970
SPT(16)	2130009583036546559	0 12 14 24 80 98 108 110 132 134 144 162 218 228 230 242	418213819902
SPT(16)	2130009731247627577	0 12 40 64 66 90 96 106 150 160 166 190 192 216 244 256	566424900920
TPT(14)	2130009971036383619	0 2 42 44 72 74 108 110 120 122 138 140 432 434	806213656962