Prime p₀= 1279548545067026807 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: mikey
db: batch=77, k=10, 2 22 2 16 2

STPT(10)	1279547677745845601	0 2 30 32 60 62 90 92 120 122	-867321181206
SPT(16)	1279547713591400389	0 10 54 90 94 108 154 168 250 264 310 324 328 364 408 418	-831475626418
SPT(16)	1279547956643425523	0 126 138 158 236 264 384 396 398 410 530 558 636 656 668 794	-588423601284
STPT(10)	1279548163669281587	0 2 54 56 72 74 90 92 144 146	-381397745220
STPT(10)	1279548399197750621	0 2 36 38 78 80 120 122 156 158	-145869276186
SPT(16)	1279548442860989117	0 6 36 50 92 104 122 164 192 234 252 264 306 320 350 356	-102206037690
STPT(10)	1279549076792154767	0 2 30 32 42 44 54 56 84 86	531725127960
SPT(16)	1279549243882571197	0 6 84 100 132 172 186 222 274 310 324 364 396 412 490 496	698815544390
SPT(16)	1279549314843548717	0 14 26 44 72 96 122 174 272 324 350 374 402 420 432 446	769776521910
TPT(14)	1279549510240140479	0 2 30 32 72 74 132 134 198 200 270 272 312 314	965173113672
SPT(16)	1279549640432547331	0 12 42 46 78 96 130 178 180 228 262 280 312 316 346 358	1095365520524