Prime p₀= 2056819382111378627 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: vinn@[CNT]
db: batch=80, k=10, 2 10 2 28 2

STPT(10)	2056817738255623631	0 2 36 38 78 80 120 122 156 158	-1643855754996
TPT(14)	2056817918271299969	0 2 30 32 60 62 78 80 120 122 198 200 288 290	-1463840078658
TPT(14)	2056818305589979199	0 2 30 32 72 74 162 164 168 170 240 242 300 302	-1076521399428
SPT(16)	2056818407253614273	0 20 36 80 104 114 188 230 234 276 350 360 384 428 444 464	-974857764354
STPT(10)	2056818412767146627	0 2 30 32 42 44 54 56 84 86	-969344232000
SPT(16)	2056818991236003089	0 44 50 54 90 170 174 182 342 350 354 434 470 474 480 524	-390875375538
STPT(10)	2056819498005267407	0 2 24 26 42 44 60 62 84 86	115893888780
SPT(16)	2056819501883488723	0 10 36 64 78 90 108 118 156 166 184 196 210 238 264 274	119772110096
SPT(16)	2056819548152959781	0 38 60 66 90 102 122 132 266 276 296 308 332 338 360 398	166041581154
STPT(10)	2056819847825339087	0 2 30 32 162 164 294 296 324 326	465713960460
SPT(16)	2056819867792229929	0 12 72 78 114 132 148 160 252 264 280 298 334 340 400 412	485680851302