Prime p₀= 810167940403734347 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: [AF>Amis des Lapins] Ceclo
db: batch=73, k=10, 2 28 2 10 2

SPT(16)	810167033303174713	0 18 24 34 40 48 60 70 108 118 130 138 144 154 160 178	-907100559634
STPT(12)	810167096324042669	0 2 18 20 42 44 78 80 102 104 120 122	-844079691678
SPT(16)	810167246800237309	0 12 34 78 88 144 162 190 222 250 268 324 334 378 400 412	-693603497038
SPT(16)	810167299667009903	0 26 38 54 66 126 146 150 164 168 188 248 260 276 288 314	-640736724444
STPT(10)	810167510158971821	0 2 36 38 108 110 180 182 216 218	-430244762526
SPT(16)	810167851130296609	0 4 42 84 144 172 184 202 210 228 240 268 328 370 408 412	-89273437738
STPT(10)	810167956915227731	0 2 6 8 18 20 30 32 36 38	16511493384
STPT(10)	810168168834258917	0 2 42 44 72 74 102 104 144 146	228430524570
SPT(16)	810168427764585247	0 40 46 64 72 94 112 124 252 264 282 304 312 330 336 376	487360850900
SPT(20)	810168545312799481	0 70 72 78 118 160 172 180 222 238 300 316 358 366 378 420 460 466 468 538	604909065134
SPT(16)	810168645079089083	0 36 56 60 120 186 204 210 230 236 254 320 380 384 404 440	704675354736