Prime p₀= 2956937256818975777 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Orange Kid
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2956935561755426243	0 6 18 24 56 90 114 156 158 200 224 258 290 296 308 314	-1695063549534
SPT(16)	2956935600481336883	0 26 36 48 66 78 84 90 224 230 236 248 266 278 288 314	-1656337638894
SPT(16)	2956935793808987131	0 12 18 100 120 126 166 186 292 312 352 358 378 460 466 478	-1463009988646
SPT(16)	2956936744467290209	0 42 52 130 132 172 214 234 280 300 342 382 384 462 472 514	-512351685568
SPT(16)	2956936896772461683	0 48 78 110 114 134 138 204 230 296 300 320 324 356 386 434	-360046514094
TPT(14)	2956937160531120047	0 2 24 26 84 86 114 116 180 182 204 206 222 224	-96287855730
SPT(16)	2956937385779908723	0 30 34 64 184 238 240 286 318 364 366 420 540 570 574 604	128960932946
SPT(16)	2956937492300095651	0 6 18 28 42 46 96 102 106 112 162 166 180 190 202 208	235481119874
SPT(18)	2956937700712358411	0 38 42 66 86 110 116 138 140 198 200 222 228 252 272 296 300 338	443893382634
STPT(10)	2956937725781329247	0 2 60 62 72 74 84 86 144 146	468962353470
STPT(10)	2956938061089672629	0 2 12 14 30 32 48 50 60 62	804270696852