Prime p₀= 788212086628657037 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: [SG]FX
db: batch=73, k=10, 2 10 2 28 2

SPT(16)	788210686283499733	0 16 24 34 60 100 106 108 196 198 204 244 270 280 288 304	-1400345157304
SPT(16)	788210960570968541	0 32 90 102 158 168 176 230 258 312 320 330 386 398 456 488	-1126057688496
SPT(16)	788211336558745031	0 8 20 30 36 60 66 122 126 182 188 212 218 228 240 248	-750069912006
SPT(16)	788211346488015271	0 16 42 82 108 118 148 156 202 210 240 250 276 316 342 358	-740140641766
STPT(10)	788211783056278001	0 2 36 38 78 80 120 122 156 158	-303572379036
SPT(16)	788211971827045091	0 2 18 32 42 56 60 78 110 128 132 146 156 170 186 188	-114801611946
STPT(10)	788212735765806077	0 2 24 26 42 44 60 62 84 86	649137149040
TPT(14)	788212961395649789	0 2 42 44 72 74 102 104 108 110 138 140 198 200	874766992752
STPT(10)	788213156276348837	0 2 60 62 72 74 84 86 144 146	1069647691800
STPT(10)	788213490886439069	0 2 12 14 90 92 168 170 180 182	1404257782032
STPT(10)	788214168577391597	0 2 30 32 42 44 54 56 84 86	2081948734560