Prime p₀= 777635105242849307 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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-2W]Kurzer
db: batch=73, k=10, 2 22 2 16 2

SPT(20)	777633452615099693	0 56 60 78 86 114 156 158 176 228 236 288 306 308 350 378 386 404 408 464	-1652627749614
SPT(13)	777633868974688681	0 36 102 126 180 186 246 306 312 366 390 456 492	-1236268160626
SPT(16)	777633963501919751	0 42 50 56 62 108 128 132 206 210 230 276 282 288 296 338	-1141740929556
STPT(10)	777634337744648471	0 2 6 8 48 50 90 92 96 98	-767498200836
SPT(16)	777634417946154667	0 40 64 96 100 160 166 210 280 324 330 390 394 426 450 490	-687296694640
SPT(16)	777634988127130621	0 22 36 46 48 102 108 118 180 190 196 250 252 262 276 298	-117115718686
SPT(16)	777635164187227001	0 8 18 32 36 56 80 102 116 138 162 182 186 200 210 218	58944377694
SPT(16)	777635190692026879	0 10 24 70 90 112 114 120 142 148 150 172 192 238 252 262	85449177572
SPT(16)	777635859896323903	0 4 126 138 144 160 198 208 216 226 264 280 286 298 420 424	754653474596
SPT(16)	777636269621363903	0 6 60 66 80 84 104 240 260 396 416 420 434 440 494 500	1164378514596
SPT(16)	777636271782264589	0 4 10 34 52 144 154 192 220 258 268 360 378 402 408 412	1166539415282