Prime p₀= 798855616906513301 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: [SG-2W]Kurzer
db: batch=73, k=10, 2 34 2 40 2

SPT(16)	798854732758346983	0 10 24 46 66 96 244 270 280 306 454 484 504 526 540 550	-884148166318
STPT(10)	798854851375610171	0 2 6 8 18 20 30 32 36 38	-765530903130
STPT(10)	798855193597118687	0 2 12 14 42 44 72 74 84 86	-423309394614
STPT(10)	798855296980280591	0 2 6 8 18 20 30 32 36 38	-319926232710
SPT(16)	798855380043794209	0 48 70 78 82 112 184 220 222 258 330 360 364 372 394 442	-236862719092
SPT(16)	798855415671997483	0 34 60 66 94 126 144 154 210 220 238 270 298 304 330 364	-201234515818
SPT(16)	798855830735825297	0 24 32 50 54 84 114 182 222 290 320 350 354 372 380 404	213829311996
SPT(16)	798855990224321749	0 52 82 84 124 142 144 172 192 220 222 240 280 282 312 364	373317808448
STPT(10)	798856075017736871	0 2 36 38 78 80 120 122 156 158	458111223570
SPT(16)	798856219045940767	0 40 52 82 150 154 204 214 252 262 312 316 384 414 426 466	602139427466
STPT(10)	798856488158129897	0 2 12 14 42 44 72 74 84 86	871251616596