Prime p₀= 2352597790223923127 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: conf [MM]
db: batch=81, k=10, 2 10 2 28 2

TPT(14)	2352596468868415541	0 2 90 92 228 230 246 248 288 290 300 302 336 338	-1321355507586
SPT(16)	2352596568154798697	0 14 20 50 90 96 102 132 224 254 260 266 306 336 342 356	-1222069124430
SPT(16)	2352596766917382911	0 32 38 48 66 78 80 98 150 168 170 182 200 210 216 248	-1023306540216
SPT(16)	2352597280261678843	0 16 30 66 94 108 136 138 196 198 226 240 268 304 318 334	-509962244284
STPT(10)	2352597497076841097	0 2 30 32 72 74 114 116 144 146	-293147082030
SPT(16)	2352597757873862341	0 12 36 42 52 82 100 120 238 258 276 306 316 322 346 358	-32350060786
STPT(10)	2352597865860000257	0 2 30 32 72 74 114 116 144 146	75636077130
STPT(10)	2352598510966622417	0 2 30 32 72 74 114 116 144 146	720742699290
STPT(10)	2352598580825984597	0 2 12 14 42 44 72 74 84 86	790602061470
STPT(10)	2352598842581385857	0 2 30 32 42 44 54 56 84 86	1052357462730
SPT(16)	2352599027586292553	0 14 56 78 84 96 98 110 234 246 248 260 266 288 330 344	1237362369426