Prime p₀= 2396882960938132127 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: JonS
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2396881196529581269	0 28 34 78 138 148 202 204 208 210 264 274 334 378 384 412	-1764408550858
STPT(10)	2396881373410639637	0 2 30 32 42 44 54 56 84 86	-1587527492490
SPT(16)	2396881544929042519	0 12 82 84 90 108 148 150 232 234 274 292 298 300 370 382	-1416009089608
TPT(14)	2396881899862984949	0 2 18 20 42 44 48 50 72 74 240 242 252 254	-1061075147178
SPT(16)	2396882374220451011	0 26 38 48 56 98 108 126 170 188 198 240 248 258 270 296	-586717681116
SPT(16)	2396882811319108823	0 6 50 54 60 78 168 176 228 236 326 344 350 354 398 404	-149619023304
STPT(10)	2396882995210895687	0 2 12 14 42 44 72 74 84 86	34272763560
STPT(10)	2396883694033414559	0 2 42 44 120 122 198 200 240 242	733095282432
STPT(10)	2396883752843685401	0 2 6 8 18 20 30 32 36 38	791905553274
SPT(16)	2396883832671104267	0 2 30 134 150 162 182 200 204 222 242 254 270 374 402 404	871732972140
SPT(18)	2396885112462535381	0 18 46 70 78 88 112 120 126 142 148 156 180 190 198 222 250 268	2151524403254