Prime p₀= 2564397067770089327 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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 10 2 28 2

STPT(10)	2564396131762456097	0 2 30 32 42 44 54 56 84 86	-936007633230
SPT(16)	2564396136651554033	0 14 24 44 78 134 140 156 218 234 240 296 330 350 360 374	-931118535294
STPT(10)	2564396265869519867	0 2 30 32 60 62 90 92 120 122	-801900569460
SPT(16)	2564396460491565173	0 18 24 26 36 104 116 126 158 168 180 248 258 260 266 284	-607278524154
TPT(14)	2564396987090565197	0 2 30 32 42 44 84 86 114 116 132 134 294 296	-80679524130
SPT(16)	2564397046875436387	0 4 42 52 54 72 96 102 124 130 154 172 174 184 222 226	-20894652940
STPT(10)	2564397327325680479	0 2 42 44 90 92 138 140 180 182	259555591152
STPT(10)	2564397434340410561	0 2 6 8 48 50 90 92 96 98	366570321234
STPT(10)	2564397594428419637	0 2 24 26 42 44 60 62 84 86	526658330310
SPT(16)	2564397595232598131	0 6 56 62 66 90 122 132 146 156 188 212 216 222 272 278	527462508804
SPT(16)	2564397602836242883	0 54 78 120 160 190 208 210 364 366 384 414 454 496 520 574	535066153556