Prime p₀= 2561906977366268471 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: Orange Kid
db: batch=82, k=10, 2 28 2 28 2

SPT(16)	2561905917568973431	0 22 36 78 112 178 190 196 222 228 240 306 340 382 396 418	-1059797295040
STPT(10)	2561906066189719199	0 2 18 20 30 32 42 44 60 62	-911176549272
SPT(16)	2561906386250633267	0 14 32 60 74 156 200 242 294 336 380 462 476 504 522 536	-591115635204
STPT(10)	2561906507272889501	0 2 6 8 48 50 90 92 96 98	-470093378970
STPT(10)	2561906649637140341	0 2 6 8 48 50 90 92 96 98	-327729128130
SPT(16)	2561906933786010281	0 8 20 32 60 78 86 116 132 162 170 188 216 228 240 248	-43580258190
STPT(10)	2561906999764359341	0 2 6 8 48 50 90 92 96 98	22398090870
STPT(10)	2561907732271060931	0 2 6 8 18 20 30 32 36 38	754904792460
STPT(10)	2561907809030663297	0 2 12 14 42 44 72 74 84 86	831664394826
STPT(10)	2561907909634942247	0 2 30 32 42 44 54 56 84 86	932268673776
SPT(16)	2561908343651155973	0 26 38 48 50 60 68 126 158 216 224 234 236 246 258 284	1366284887502