Prime p₀= 776024566246692359 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: [AF>Libristes]Maeda
db: batch=73, k=10, 2 16 2 40 2

SPT(16)	776023458375985637	0 26 74 90 116 146 156 200 210 254 264 294 320 336 384 410	-1107870706722
STPT(10)	776023518111721037	0 2 54 56 72 74 90 92 144 146	-1048134971322
SPT(16)	776023557469620127	0 12 24 30 40 42 52 142 162 252 262 264 274 280 292 304	-1008777072232
SPT(16)	776024019437240389	0 40 72 84 124 142 144 148 204 208 210 228 268 280 312 352	-546809451970
STPT(10)	776024156490715019	0 2 18 20 30 32 42 44 60 62	-409755977340
STPT(10)	776024311680392387	0 2 30 32 42 44 54 56 84 86	-254566299972
SPT(16)	776024680190841163	0 54 88 130 136 214 234 288 406 460 480 558 564 606 640 694	113944148804
SPT(16)	776024735650451281	0 18 36 52 78 106 108 196 222 310 312 340 366 382 400 418	169403758922
STPT(10)	776024813614281599	0 2 18 20 30 32 42 44 60 62	247367589240
STPT(10)	776024871115649171	0 2 30 32 78 80 126 128 156 158	304868956812
STPT(10)	776025020096335979	0 2 12 14 30 32 48 50 60 62	453849643620