Prime p₀= 1317123419874161069 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: mikey
db: batch=77, k=10, 2 16 2 40 2

SPT(16)	1317122090797405939	0 28 48 132 138 144 148 190 222 264 268 274 280 364 384 412	-1329076755130
SPT(16)	1317122374518021317	0 2 44 50 56 72 86 96 200 210 224 240 246 252 294 296	-1045356139752
SPT(16)	1317122608666425677	0 20 86 96 120 140 180 182 210 212 252 272 296 306 372 392	-811207735392
SPT(16)	1317122680361772293	0 14 18 20 48 74 86 126 218 258 270 296 324 326 330 344	-739512388776
STPT(10)	1317123307808192387	0 2 24 26 42 44 60 62 84 86	-112065968682
SPT(16)	1317123386735644721	0 60 72 116 122 140 146 182 276 312 318 336 342 386 398 458	-33138516348
SPT(16)	1317123816865189181	0 32 38 56 66 78 80 116 132 168 170 182 192 210 216 248	396991028112
STPT(10)	1317123971315656919	0 2 48 50 60 62 72 74 120 122	551441495850
SPT(16)	1317124640285014733	0 30 44 68 98 104 126 204 230 308 330 336 366 390 404 434	1220410853664
SPT(20)	1317125014527524357	0 36 56 80 86 152 156 162 176 206 240 270 284 290 294 360 366 390 410 446	1594653363288
TPT(14)	1317125478265374131	0 2 30 32 168 170 180 182 228 230 258 260 300 302	2058391213062