Prime p₀= 2352598580825984597 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

SPT(16)	2352597280261678843	0 16 30 66 94 108 136 138 196 198 226 240 268 304 318 334	-1300564305754
STPT(10)	2352597497076841097	0 2 30 32 72 74 114 116 144 146	-1083749143500
SPT(16)	2352597757873862341	0 12 36 42 52 82 100 120 238 258 276 306 316 322 346 358	-822952122256
STPT(10)	2352597790223923127	0 2 12 14 42 44 72 74 84 86	-790602061470
STPT(10)	2352597865860000257	0 2 30 32 72 74 114 116 144 146	-714965984340
STPT(10)	2352598510966622417	0 2 30 32 72 74 114 116 144 146	-69859362180
STPT(10)	2352598842581385857	0 2 30 32 42 44 54 56 84 86	261755401260
SPT(16)	2352599027586292553	0 14 56 78 84 96 98 110 234 246 248 260 266 288 330 344	446760307956
TPT(14)	2352599742363135821	0 2 48 50 78 80 96 98 138 140 180 182 210 212	1161537151224
SPT(16)	2352599888916054707	0 26 42 90 96 122 140 144 152 156 174 200 206 254 270 296	1308090070110
STPT(12)	2352600232408614311	0 2 30 32 60 62 126 128 156 158 186 188	1651582629714