Prime p₀= 810167956915227731 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: [AF>Amis des Lapins] Ceclo
db: batch=73, k=10, 2 4 2 10 2

STPT(12)	810167096324042669	0 2 18 20 42 44 78 80 102 104 120 122	-860591185062
SPT(16)	810167246800237309	0 12 34 78 88 144 162 190 222 250 268 324 334 378 400 412	-710114990422
SPT(16)	810167299667009903	0 26 38 54 66 126 146 150 164 168 188 248 260 276 288 314	-657248217828
STPT(10)	810167510158971821	0 2 36 38 108 110 180 182 216 218	-446756255910
SPT(16)	810167851130296609	0 4 42 84 144 172 184 202 210 228 240 268 328 370 408 412	-105784931122
STPT(10)	810167940403734347	0 2 30 32 42 44 54 56 84 86	-16511493384
STPT(10)	810168168834258917	0 2 42 44 72 74 102 104 144 146	211919031186
SPT(16)	810168427764585247	0 40 46 64 72 94 112 124 252 264 282 304 312 330 336 376	470849357516
SPT(20)	810168545312799481	0 70 72 78 118 160 172 180 222 238 300 316 358 366 378 420 460 466 468 538	588397571750
SPT(16)	810168645079089083	0 36 56 60 120 186 204 210 230 236 254 320 380 384 404 440	688163861352
SPT(16)	810169200634715833	0 10 18 28 30 58 64 70 108 114 120 148 150 160 168 178	1243719488102