Prime p₀= 798329774527599911 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: Theadalus
db: batch=73, k=10, 2 34 2 40 2

SPT(16)	798328475880285877	0 52 90 132 142 156 192 196 216 220 256 270 280 322 360 412	-1298647314034
TPT(16)	798328822155117299	0 2 48 50 60 62 72 74 102 104 168 170 258 260 300 302	-952372482612
STPT(10)	798328843795677791	0 2 36 38 78 80 120 122 156 158	-930731922120
SPT(16)	798328967729712593	0 30 44 56 80 84 96 108 146 158 170 174 198 210 224 254	-806797887318
TPT(14)	798329300289420839	0 2 42 44 102 104 162 164 258 260 288 290 300 302	-474238179072
STPT(10)	798329566596627311	0 2 36 38 78 80 120 122 156 158	-207930972600
TPT(14)	798330268444238909	0 2 162 164 192 194 198 200 240 242 252 254 330 332	493916638998
STPT(10)	798330366050907659	0 2 12 14 30 32 48 50 60 62	591523307748
SPT(16)	798330383756801029	0 54 60 82 88 168 228 264 268 304 364 444 450 472 478 532	609229201118
STPT(10)	798330530889793019	0 2 18 20 30 32 42 44 60 62	756362193108
STPT(10)	798330775210328597	0 2 30 32 42 44 54 56 84 86	1000682728686