Prime p₀= 2823730174096099517 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: [SG-FC] hl
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2823729470006729033	0 26 50 78 96 110 138 140 204 206 234 248 266 294 318 344	-704089370484
SPT(16)	2823729492577773607	0 6 22 34 150 154 196 204 232 240 282 286 402 414 430 436	-681518325910
SPT(16)	2823729588977030849	0 8 24 90 120 128 164 170 258 264 300 308 338 404 420 428	-585119068668
SPT(16)	2823729975113152519	0 10 22 52 72 94 112 162 352 402 420 442 462 492 504 514	-198982946998
SPT(16)	2823730081748288971	0 10 42 46 60 70 112 130 198 216 258 268 282 286 318 328	-92347810546
SPT(16)	2823730118064421133	0 44 96 126 138 150 164 168 266 270 284 296 308 338 390 434	-56031678384
SPT(16)	2823730390207138409	0 12 50 62 72 90 114 128 144 158 182 200 210 222 260 272	216111038892
SPT(16)	2823730397280093701	0 72 158 168 176 210 236 242 246 252 278 312 320 330 416 488	223183994184
STPT(10)	2823730571444505509	0 2 48 50 90 92 132 134 180 182	397348405992
STPT(10)	2823730809117468797	0 2 30 32 42 44 54 56 84 86	635021369280
SPT(16)	2823730866498933689	0 12 30 48 62 72 104 110 162 168 200 210 224 242 260 272	692402834172