Prime p₀= 2342666371407180347 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Landjunge
db: batch=81, k=10, 2 10 2 28 2

SPT(16)	2342664638738781083	0 38 90 158 216 228 266 276 458 468 506 518 576 644 696 734	-1732668399264
SPT(16)	2342664913579394281	0 16 36 72 108 132 150 168 190 208 226 250 286 322 342 358	-1457827786066
SPT(16)	2342665749964415671	0 70 118 120 132 160 208 258 280 330 378 406 418 420 468 538	-621442764676
STPT(10)	2342665929991706327	0 2 84 86 162 164 240 242 324 326	-441415474020
SPT(16)	2342665996286867389	0 4 12 28 78 94 102 112 120 130 138 154 204 220 228 232	-375120312958
STPT(10)	2342666069389567307	0 2 12 14 42 44 72 74 84 86	-302017613040
SPT(16)	2342666481080466323	0 26 54 66 68 90 96 104 150 158 164 186 188 200 228 254	109673285976
STPT(10)	2342667023343837389	0 2 12 14 90 92 168 170 180 182	651936657042
SPT(16)	2342667107677225349	0 18 20 60 72 108 128 138 242 252 272 308 320 360 362 380	736270045002
SPT(16)	2342667175230923117	0 14 24 44 66 80 114 140 150 176 210 224 246 266 276 290	803823742770
SPT(16)	2342667293840163931	0 42 60 70 90 106 130 142 186 198 222 238 258 268 286 328	922432983584