Prime p₀= 2700276879452439587 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: JayPi
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2700276033831634943	0 14 44 48 114 116 126 150 164 188 198 200 266 270 300 314	-845620804644
SPT(16)	2700276211801703729	0 8 60 68 80 102 140 152 318 330 368 390 402 410 462 470	-667650735858
SPT(16)	2700276379789250183	0 6 38 50 54 98 126 140 174 188 216 260 264 276 308 314	-499663189404
SPT(16)	2700276463125595001	0 30 42 60 86 116 128 168 230 270 282 312 338 356 368 398	-416326844586
STPT(10)	2700276530752585151	0 2 6 8 48 50 90 92 96 98	-348699854436
STPT(10)	2700276531795186077	0 2 30 32 42 44 54 56 84 86	-347657253510
STPT(10)	2700276935450023841	0 2 6 8 18 20 30 32 36 38	55997584254
SPT(16)	2700277012467291973	0 28 30 34 60 84 130 184 204 258 304 328 354 358 360 388	133014852386
SPT(16)	2700277394679941143	0 70 78 96 114 156 166 184 210 228 238 280 298 316 324 394	515227501556
STPT(10)	2700278233841198069	0 2 12 14 90 92 168 170 180 182	1354388758482
STPT(10)	2700278461892002721	0 2 36 38 78 80 120 122 156 158	1582439563134