Prime p₀= 2396979522056682287 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 88 2 40 2 40 2 88 2 (?)
a_n: 0 2 90 92 132 134 174 176 264 266
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: 266
Found by: Paul
db: batch=81, k=10, 2 88 2 40 2

SPT(16)	2396977147015953391	0 30 60 66 82 96 102 112 126 136 142 156 172 178 208 238	-2375040728896
STPT(10)	2396977447876817129	0 2 18 20 60 62 102 104 120 122	-2074179865158
SPT(16)	2396977729825564541	0 18 56 68 90 96 140 200 216 276 320 326 348 360 398 416	-1792231117746
STPT(10)	2396978577202928219	0 2 42 44 90 92 138 140 180 182	-944853754068
STPT(10)	2396978729765646659	0 2 42 44 90 92 138 140 180 182	-792291035628
SPT(16)	2396978981760386423	0 26 50 54 78 80 158 168 176 186 264 266 290 294 318 344	-540296295864
STPT(10)	2396979522340625639	0 2 18 20 30 32 42 44 60 62	283943352
STPT(10)	2396980022142647969	0 2 18 20 30 32 42 44 60 62	500085965682
STPT(10)	2396980372893086327	0 2 12 14 42 44 72 74 84 86	850836404040
STPT(10)	2396981040891270707	0 2 30 32 42 44 54 56 84 86	1518834588420
SPT(16)	2396981041802635349	0 8 12 20 42 48 92 102 140 150 194 200 222 230 234 242	1519745953062