Prime p₀= 777367965828720311 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 64 2 70 2 70 2 64 2 (?)
a_n: 0 2 66 68 138 140 210 212 276 278
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: 278
Found by: [SG-2W]Kurzer
db: batch=73, k=10, 2 64 2 70 2

TPT(14)	777367112660161787	0 2 24 26 30 32 54 56 84 86 150 152 162 164	-853168558524
STPT(10)	777367386647213039	0 2 18 20 30 32 42 44 60 62	-579181507272
TPT(14)	777367497237768329	0 2 60 62 72 74 138 140 180 182 228 230 432 434	-468590951982
SPT(16)	777367521981980549	0 8 12 32 48 54 60 74 78 92 98 104 120 140 144 152	-443846739762
STPT(10)	777367870235094959	0 2 42 44 60 62 78 80 120 122	-95593625352
SPT(16)	777367914524984723	0 50 56 80 98 108 156 176 288 308 356 366 384 408 414 464	-51303735588
TPT(14)	777368223764574137	0 2 12 14 42 44 90 92 150 152 180 182 234 236	257935853826
SPT(16)	777368510996477209	0 10 18 28 40 52 60 64 108 112 120 132 144 154 162 172	545167756898
STPT(12)	777368611116815699	0 2 42 44 78 80 132 134 168 170 210 212	645288095388
STPT(10)	777368615098704479	0 2 12 14 90 92 168 170 180 182	649269984168
STPT(10)	777368653438461479	0 2 48 50 90 92 132 134 180 182	687609741168