Prime p₀= 825745865368866677 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: GLeeM
db: batch=73, k=10, 2 40 2 28 2

SPT(16)	825744522603401573	0 30 50 98 110 116 128 144 170 186 198 204 216 264 284 314	-1342765465104
STPT(10)	825744530071673897	0 2 24 26 42 44 60 62 84 86	-1335297192780
SPT(16)	825745271481280147	0 30 40 46 54 82 160 226 240 306 384 412 420 426 436 466	-593887586530
SPT(16)	825745439233826611	0 12 40 42 52 66 82 90 118 126 142 156 166 168 196 208	-426135040066
SPT(16)	825745456193326477	0 30 72 154 172 180 204 210 226 232 256 264 282 364 406 436	-409175540200
STPT(10)	825745484877505859	0 2 18 20 60 62 102 104 120 122	-380491360818
SPT(13)	825745895471711671	0 30 78 108 168 228 240 252 312 372 402 450 480	30102844994
STPT(10)	825746112879154079	0 2 18 20 30 32 42 44 60 62	247510287402
SPT(16)	825746180521039163	0 14 24 66 78 80 114 126 158 170 204 206 218 260 270 284	315152172486
SPT(16)	825746522841622199	0 72 74 80 90 104 108 114 158 164 168 182 192 198 200 272	657472755522
TPT(14)	825746870384579399	0 2 18 20 60 62 90 92 102 104 168 170 198 200	1005015712722