Prime p₀= 726245976335402207 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Theadalus
db: batch=73, k=10, 2 22 2 16 2

SPT(16)	726244971965365159	0 4 82 102 118 138 172 234 238 300 334 354 370 390 468 472	-1004370037048
STPT(10)	726244997904931829	0 2 18 20 60 62 102 104 120 122	-978430470378
STPT(10)	726245091555203189	0 2 12 14 30 32 48 50 60 62	-884780199018
STPT(10)	726245107500392111	0 2 30 32 78 80 126 128 156 158	-868835010096
SPT(16)	726245438006188829	0 42 50 60 80 108 144 164 198 218 254 282 302 312 320 362	-538329213378
STPT(10)	726245522861096279	0 2 18 20 30 32 42 44 60 62	-453474305928
SPT(16)	726246360392030311	0 12 18 40 42 70 72 88 120 136 138 166 168 190 196 208	384056628104
SPT(18)	726246447056213653	0 76 78 114 126 136 148 160 196 198 234 246 258 268 280 316 318 394	470720811446
SPT(16)	726246616261530127	0 12 24 36 66 82 142 166 210 234 294 310 340 352 364 376	639926127920
SPT(16)	726246619232226013	0 4 70 166 174 180 216 256 258 298 334 340 348 444 510 514	642896823806
SPT(16)	726246759846168307	0 6 22 64 76 102 160 186 190 216 274 300 312 354 370 376	783510766100