Prime p₀= 2396941712032425557 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Marcel-Berlin
db: batch=81, k=10, 2 22 2 16 2

STPT(10)	2396940718195731737	0 2 12 14 42 44 72 74 84 86	-993836693820
SPT(16)	2396941170787819781	0 6 30 68 72 108 146 158 180 192 230 266 270 308 332 338	-541244605776
SPT(16)	2396941221942214469	0 8 20 54 68 90 134 140 168 174 218 240 254 288 300 308	-490090211088
SPT(16)	2396941410499829723	0 26 36 74 78 138 140 194 210 264 266 326 330 368 378 404	-301532595834
SPT(16)	2396941543213903247	0 74 116 126 170 176 200 204 206 210 234 240 284 294 336 410	-168818522310
STPT(10)	2396941643209926677	0 2 42 44 72 74 102 104 144 146	-68822498880
SPT(16)	2396941958144257267	0 6 34 42 84 132 144 156 160 172 184 232 274 282 310 316	246111831710
STPT(12)	2396942032982644097	0 2 42 44 144 146 150 152 252 254 294 296	320950218540
STPT(10)	2396942281901927729	0 2 12 14 30 32 48 50 60 62	569869502172
SPT(16)	2396942593881703171	0 42 76 108 118 126 178 208 210 240 292 300 310 342 376 418	881849277614
TPT(14)	2396942979781262387	0 2 54 56 222 224 252 254 360 362 402 404 462 464	1267748836830