Prime p₀= 780977129649882689 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: [SG]steini
db: batch=73, k=10, 2 16 2 10 2

SPT(16)	780975951352930027	0 4 36 70 84 94 100 114 142 156 162 172 186 220 252 256	-1178296952662
STPT(10)	780975965159918579	0 2 18 20 30 32 42 44 60 62	-1164489964110
SPT(16)	780975970080486793	0 6 16 28 34 40 114 118 126 130 204 210 216 228 238 244	-1159569395896
SPT(16)	780976320763487297	0 42 50 120 152 182 210 212 402 404 432 462 494 564 572 614	-808886395392
SPT(16)	780976453588698701	0 8 12 92 98 110 132 180 218 266 288 300 306 386 390 398	-676061183988
STPT(10)	780976664322928817	0 2 42 44 72 74 102 104 144 146	-465326953872
SPT(16)	780977152884894299	0 8 42 50 68 80 98 110 132 144 162 174 192 200 234 242	23235011610
SPT(16)	780977260714054403	0 30 44 90 108 116 194 200 264 270 348 356 374 420 434 464	131064171714
STPT(12)	780977284862845589	0 2 30 32 72 74 120 122 162 164 192 194	155212962900
STPT(10)	780978113633606387	0 2 42 44 72 74 102 104 144 146	983983723698
SPT(16)	780978854588432917	0 6 16 40 84 102 124 126 130 132 154 172 216 240 250 256	1724938550228