Prime p₀= 2116964308068822827 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: Landjunge
db: batch=80, k=10, 2 22 2 16 2

STPT(10)	2116963556195537627	0 2 30 32 42 44 54 56 84 86	-751873285200
SPT(16)	2116963885375996837	0 4 6 10 22 34 42 112 144 214 222 234 246 250 252 256	-422692825990
STPT(10)	2116963949883199559	0 2 18 20 30 32 42 44 60 62	-358185623268
SPT(16)	2116964056637431217	0 2 12 30 80 86 104 146 150 192 210 216 266 284 294 296	-251431391610
SPT(16)	2116964129389659379	0 4 18 30 112 144 148 162 250 264 268 300 382 394 408 412	-178679163448
SPT(16)	2116964296558743607	0 40 66 76 82 96 160 196 306 342 406 420 426 436 462 502	-11510079220
TPT(14)	2116964352864374807	0 2 24 26 132 134 222 224 234 236 264 266 294 296	44795551980
STPT(10)	2116964596760678129	0 2 12 14 90 92 168 170 180 182	288691855302
SPT(16)	2116964805624289961	0 18 26 72 90 168 170 186 212 228 230 308 326 372 380 398	497555467134
STPT(10)	2116964830420954601	0 2 6 8 48 50 90 92 96 98	522352131774
SPT(16)	2116964987438004677	0 12 26 32 84 102 120 134 162 176 194 212 264 270 284 296	679369181850