Prime p₀= 2563953472463549867 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 52 2 28 2 34 2 28 2 52 2 (?)
a_n: 0 2 54 56 84 86 120 122 150 152 204 206
All 12 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 206
Found by: [SG-FC] hl
db: batch=82, k=12, 2 52 2 28 2 34

STPT(10)	2563952334079396859	0 2 18 20 30 32 42 44 60 62	-1138384153008
SPT(16)	2563952653174199809	0 34 84 90 112 124 172 198 214 240 288 300 322 328 378 412	-819289350058
SPT(16)	2563952848509065887	0 4 40 60 124 130 150 174 262 286 306 312 376 396 432 436	-623954483980
SPT(16)	2563952943772475483	0 8 18 48 60 74 90 98 120 128 144 158 170 200 210 218	-528691074384
SPT(16)	2563953279966139069	0 12 28 30 40 78 112 120 130 138 172 210 220 222 238 250	-192497410798
STPT(10)	2563953461191491779	0 2 12 14 90 92 168 170 180 182	-11272058088
TPT(14)	2563953650260334669	0 2 162 164 198 200 240 242 330 332 462 464 498 500	177796784802
SPT(16)	2563954003064024173	0 10 18 28 36 54 70 88 186 204 220 238 246 256 264 274	530600474306
SPT(16)	2563954398950245891	0 66 72 88 106 130 150 168 220 238 258 282 300 316 322 388	926486696024
SPT(16)	2563954418927134481	0 2 20 42 72 86 156 180 182 206 276 290 320 342 360 362	946463584614
STPT(10)	2563954624970778617	0 2 30 32 42 44 54 56 84 86	1152507228750