Prime p₀= 2119954830060700427 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 76 2 76 2 52 2 (?)
a_n: 0 2 54 56 132 134 210 212 264 266
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: Coleslaw
db: batch=80, k=10, 2 52 2 76 2

SPT(16)	2119953570701177467	0 12 22 54 70 72 100 112 132 144 172 174 190 222 232 244	-1259359522960
SPT(18)	2119953722679832999	0 4 88 94 114 168 172 178 232 270 324 330 334 388 408 414 498 502	-1107380867428
STPT(10)	2119953762456000179	0 2 42 44 60 62 78 80 120 122	-1067604700248
STPT(10)	2119953982045654169	0 2 48 50 60 62 72 74 120 122	-848015046258
SPT(16)	2119954551085503967	0 4 22 30 42 102 106 126 130 150 154 214 226 234 252 256	-278975196460
SPT(16)	2119954784453458753	0 34 64 94 100 106 136 150 250 264 294 300 306 336 366 400	-45607241674
SPT(16)	2119954852290835957	0 22 42 90 96 112 174 180 196 202 264 280 286 334 354 376	22230135530
STPT(10)	2119954901654921447	0 2 30 32 42 44 54 56 84 86	71594221020
SPT(16)	2119955052023996017	0 10 12 24 94 102 106 120 136 150 154 162 232 244 246 256	221963295590
SPT(16)	2119955932675462879	0 18 78 90 100 118 142 160 210 228 252 270 280 292 352 370	1102614762452
SPT(16)	2119956172657776889	0 34 90 100 132 168 198 210 232 244 274 310 342 352 408 442	1342597076462