Prime p₀= 1280889972458980757 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Theadalus
db: batch=77, k=10, 2 28 2 10 2

SPT(16)	1280889635113672153	0 76 94 150 168 216 276 294 520 538 598 646 664 720 738 814	-337345308604
SPT(16)	1280889709506758917	0 4 40 60 70 76 114 124 132 142 180 186 196 216 252 256	-262952221840
SPT(16)	1280889883924792021	0 40 60 70 88 100 178 222 226 270 348 360 378 388 408 448	-88534188736
STPT(10)	1280889930227703317	0 2 90 92 132 134 174 176 264 266	-42231277440
STPT(10)	1280889944963868059	0 2 18 20 30 32 42 44 60 62	-27495112698
SPT(16)	1280889959448207721	0 28 42 88 172 196 240 270 298 328 372 396 480 526 540 568	-13010773036
SPT(16)	1280890003512902129	0 14 48 62 72 114 120 182 210 272 278 320 330 344 378 392	31053921372
SPT(16)	1280890138633004059	0 18 112 132 142 160 180 184 198 202 222 240 250 270 364 382	166174023302
STPT(10)	1280890412451231017	0 2 60 62 102 104 144 146 204 206	439992250260
STPT(10)	1280890890085221011	0 2 36 38 78 80 120 122 156 158	917626240254
SPT(16)	1280891498793102857	0 20 24 30 42 66 84 86 90 92 110 134 146 152 156 176	1526334122100