Prime p₀= 726877252066358747 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: 146
Found by: crashtech
db: batch=73, k=10, 2 10 2 58 2

STPT(10)	726876343490046941	0 2 36 38 78 80 120 122 156 158	-908576311806
SPT(16)	726876576087264103	0 28 36 96 100 166 184 196 198 210 228 294 298 358 366 394	-675979094644
STPT(10)	726876700863758747	0 2 30 32 42 44 54 56 84 86	-551202600000
TPT(14)	726876866758312817	0 2 42 44 72 74 84 86 204 206 360 362 372 374	-385308045930
TPT(16)	726876895167566159	0 2 30 32 132 134 162 164 168 170 228 230 252 254 258 260	-356898792588
SPT(16)	726877205473582967	0 12 30 42 60 72 86 96 116 126 140 152 170 182 200 212	-46592775780
SPT(16)	726877276936665521	0 6 42 66 78 80 86 102 146 162 168 170 182 206 242 248	24870306774
SPT(16)	726877398954170039	0 2 14 30 60 78 120 144 188 212 254 272 302 318 330 332	146887811292
SPT(16)	726877844815322587	0 4 24 46 70 126 154 160 210 216 244 300 324 346 366 370	592748963840
STPT(10)	726878016969052547	0 2 30 32 42 44 54 56 84 86	764902693800
SPT(16)	726878267776615483	0 28 64 78 84 124 138 166 168 196 210 250 256 270 306 334	1015710256736