Prime p₀= 2377930318151790497 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: Xenon
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2377928449859754853	0 24 64 78 90 94 120 130 168 178 204 208 220 234 274 298	-1868292035644
SPT(16)	2377928742920216699	0 14 68 80 90 98 114 132 170 188 204 212 222 234 288 302	-1575231573798
STPT(10)	2377928771993727497	0 2 30 32 42 44 54 56 84 86	-1546158063000
STPT(10)	2377929091718832317	0 2 12 14 42 44 72 74 84 86	-1226432958180
SPT(16)	2377929326209795199	0 18 50 62 90 98 102 212 300 410 414 422 450 462 494 512	-991941995298
STPT(12)	2377930080665169227	0 2 30 32 42 44 72 74 84 86 114 116	-237486621270
SPT(16)	2377930408531928119	0 18 24 28 34 52 70 108 154 192 210 228 234 238 244 262	90380137622
SPT(16)	2377930459311121543	0 28 48 54 70 124 138 166 168 196 210 264 280 286 306 334	141159331046
SPT(16)	2377930912687738069	0 4 30 70 90 148 184 204 208 228 264 322 342 382 408 412	594535947572
SPT(16)	2377931212966518841	0 22 42 52 130 136 156 280 312 436 456 462 540 550 570 592	894814728344
STPT(10)	2377931270305781051	0 2 36 38 78 80 120 122 156 158	952153990554