Prime p₀= 2564410694754812777 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Orange Kid
db: batch=82, k=10, 2 28 2 10 2

STPT(10)	2564407761111896681	0 2 36 38 78 80 120 122 156 158	-2933642916096
STPT(10)	2564407821052427039	0 2 18 20 30 32 42 44 60 62	-2873702385738
STPT(10)	2564408120303352077	0 2 60 62 72 74 84 86 144 146	-2574451460700
STPT(10)	2564408778315984569	0 2 48 50 90 92 132 134 180 182	-1916438828208
STPT(10)	2564409210666914657	0 2 12 14 72 74 132 134 144 146	-1484087898120
SPT(16)	2564409846755466329	0 32 42 60 72 78 98 110 120 132 152 158 170 188 198 230	-847999346448
SPT(16)	2564411219720135237	0 72 86 140 156 162 212 216 260 264 314 320 336 390 404 476	524965322460
STPT(10)	2564412072483406487	0 2 24 26 42 44 60 62 84 86	1377728593710
SPT(16)	2564413530248121203	0 36 38 80 98 144 150 158 186 194 200 246 264 306 308 344	2835493308426
STPT(10)	2564413981779259847	0 2 30 32 42 44 54 56 84 86	3287024447070
SPT(16)	2564414017404989579	0 14 30 42 44 48 74 90 152 168 194 198 200 212 228 242	3322650176802