Prime p₀= 916779644404846709 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: Theadalus
db: batch=76, k=10, 2 10 2 76 2

TPT(14)	916778669973584267	0 2 12 14 42 44 54 56 90 92 150 152 192 194	-974431262442
SPT(16)	916778861711737643	0 6 50 78 168 176 246 258 308 320 390 398 488 516 560 566	-782693109066
SPT(16)	916779079577001643	0 4 10 16 70 100 144 148 156 160 204 234 288 294 300 304	-564827845066
SPT(16)	916779130700466409	0 10 18 88 90 112 138 148 192 202 228 250 252 322 330 340	-513704380300
STPT(10)	916779171394126217	0 2 60 62 72 74 84 86 144 146	-473010720492
STPT(10)	916779346949125547	0 2 30 32 42 44 54 56 84 86	-297455721162
STPT(10)	916779821119054157	0 2 42 44 72 74 102 104 144 146	176714207448
SPT(16)	916779879852598507	0 4 12 22 30 42 64 84 100 120 142 154 162 172 180 184	235447751798
STPT(10)	916780070715214829	0 2 12 14 30 32 48 50 60 62	426310368120
SPT(16)	916780267778798953	0 28 54 78 126 144 186 208 216 238 280 298 346 370 396 424	623373952244
TPT(14)	916780538369167469	0 2 30 32 60 62 72 74 90 92 132 134 138 140	893964320760