Prime p₀= 810191645817439979 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: amazing
db: batch=73, k=10, 2 16 2 10 2

SPT(16)	810190863078420727	0 12 36 72 100 102 142 172 204 234 274 276 304 340 364 376	-782739019252
STPT(10)	810191132279003771	0 2 6 8 18 20 30 32 36 38	-513538436208
SPT(16)	810191161353884147	0 54 66 84 90 92 110 140 186 216 234 236 242 260 272 326	-484463555832
SPT(16)	810191172863249167	0 72 96 102 130 154 210 216 250 256 312 336 364 370 394 466	-472954190812
STPT(10)	810191248716979769	0 2 48 50 90 92 132 134 180 182	-397100460210
STPT(10)	810191394076404827	0 2 84 86 132 134 180 182 264 266	-251741035152
SPT(16)	810191845764687811	0 52 120 138 168 172 216 232 276 292 336 340 370 388 456 508	199947247832
STPT(10)	810192073594649027	0 2 42 44 72 74 102 104 144 146	427777209048
SPT(16)	810192580276287277	0 4 24 66 84 112 166 172 174 180 234 262 280 322 342 346	934458847298
SPT(16)	810193004074308193	0 16 34 58 78 114 160 196 198 234 280 316 336 360 378 394	1358256868214
STPT(12)	810193389758905721	0 2 30 32 90 92 126 128 186 188 216 218	1743941465742