Prime p₀= 2325045782565042137 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: Landjunge
db: batch=81, k=10, 2 28 2 10 2

SPT(20)	2325044272580416769	0 2 12 44 50 54 78 152 170 188 204 222 240 314 338 342 348 380 390 392	-1509984625368
SPT(16)	2325044541694296641	0 66 86 116 192 240 246 252 290 296 302 350 426 456 476 542	-1240870745496
STPT(10)	2325044668353602981	0 2 36 38 78 80 120 122 156 158	-1114211439156
STPT(10)	2325045111196873337	0 2 24 26 42 44 60 62 84 86	-671368168800
STPT(10)	2325045230170449947	0 2 30 32 42 44 54 56 84 86	-552394592190
TPT(14)	2325045574292369561	0 2 48 50 90 92 120 122 138 140 306 308 318 320	-208272672576
SPT(16)	2325045800528624179	0 10 48 84 88 100 108 118 234 244 252 264 268 304 342 352	17963582042
SPT(16)	2325046142014881179	0 20 42 60 68 72 102 104 108 110 140 144 152 170 192 212	359449839042
STPT(10)	2325046361693510627	0 2 30 32 42 44 54 56 84 86	579128468490
SPT(16)	2325046375422069601	0 12 18 58 100 102 108 112 168 172 178 180 222 262 268 280	592857027464
SPT(16)	2325046719454628833	0 4 6 66 94 114 180 196 198 214 280 300 328 388 390 394	936889586696