Prime p₀= 2112799077706008719 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: kim-b-h
db: batch=80, k=10, 2 16 2 10 2

SPT(16)	2112796737531519437	0 14 26 90 104 144 156 164 216 224 236 276 290 354 366 380	-2340174489282
STPT(10)	2112796793811523871	0 2 6 8 18 20 30 32 36 38	-2283894484848
SPT(16)	2112797200968927157	0 60 70 84 114 144 154 196 210 252 262 292 322 336 346 406	-1876737081562
SPT(16)	2112797337419572939	0 18 22 24 58 90 94 120 142 168 172 204 238 240 244 262	-1740286435780
STPT(10)	2112798427347144137	0 2 42 44 72 74 102 104 144 146	-650358864582
STPT(10)	2112798972637047449	0 2 18 20 30 32 42 44 60 62	-105068961270
STPT(10)	2112799161083753291	0 2 30 32 120 122 210 212 240 242	83377744572
STPT(12)	2112799464769464851	0 2 18 20 30 32 198 200 210 212 228 230	387063456132
SPT(16)	2112799550870217197	0 6 30 32 36 50 92 146 186 240 282 296 300 302 326 332	473164208478
SPT(16)	2112799668401396627	0 6 30 42 50 56 80 86 126 132 156 162 170 182 206 212	590695387908
STPT(10)	2112799749704288339	0 2 30 32 60 62 90 92 120 122	671998279620