Prime p₀= 2713576504249145831 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Roadranner
db: batch=82, k=10, 2 4 2 10 2

SPT(16)	2713575139666486357	0 42 66 70 114 162 220 240 286 306 364 412 456 460 484 526	-1364582659474
STPT(10)	2713575353439267011	0 2 30 32 60 62 90 92 120 122	-1150809878820
SPT(18)	2713575499327959397	0 46 52 70 106 150 172 190 192 214 216 234 256 300 336 354 360 406	-1004921186434
STPT(10)	2713575629712012851	0 2 30 32 60 62 90 92 120 122	-874537132980
SPT(16)	2713575668689814603	0 36 50 68 90 98 108 134 210 236 246 254 276 294 308 344	-835559331228
STPT(10)	2713576206620079629	0 2 48 50 90 92 132 134 180 182	-297629066202
SPT(16)	2713576539899159267	0 6 12 20 32 42 54 92 144 182 194 204 216 224 230 236	35650013436
STPT(10)	2713576661473289147	0 2 30 32 42 44 54 56 84 86	157224143316
STPT(10)	2713577091595055471	0 2 30 32 60 62 90 92 120 122	587345909640
STPT(10)	2713577123427493649	0 2 18 20 30 32 42 44 60 62	619178347818
SPT(16)	2713577535748870331	0 2 56 78 132 156 162 168 290 296 302 326 380 402 456 458	1031499724500