Prime p₀= 798713058440023169 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: 122
Found by: [SG-2W]Kurzer
db: batch=73, k=10, 2 16 2 40 2

SPT(16)	798712065329993531	0 6 8 30 36 66 78 80 96 98 110 140 146 168 170 176	-993110029638
STPT(10)	798712096287587927	0 2 30 32 42 44 54 56 84 86	-962152435242
SPT(16)	798712177178638729	0 18 40 42 52 94 102 108 154 160 168 210 220 222 244 262	-881261384440
STPT(10)	798712422426162611	0 2 6 8 48 50 90 92 96 98	-636013860558
SPT(16)	798712749516403121	0 30 56 72 78 86 92 122 156 186 192 200 206 222 248 278	-308923620048
SPT(16)	798712811440563181	0 16 42 70 82 96 106 126 136 156 166 180 192 220 246 262	-246999459988
STPT(10)	798713098973796197	0 2 90 92 102 104 114 116 204 206	40533773028
TPT(14)	798713329047074891	0 2 36 38 126 128 156 158 240 242 258 260 270 272	270607051722
SPT(16)	798713862224616673	0 4 66 70 90 126 150 174 196 220 244 280 300 304 366 370	803784593504
STPT(10)	798714303849304277	0 2 30 32 42 44 54 56 84 86	1245409281108
STPT(10)	798714363240258737	0 2 30 32 42 44 54 56 84 86	1304800235568