Prime p₀= 1268573775897920207 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: Megacruncher
db: batch=77, k=10, 2 40 2 28 2

SPT(16)	1268572314166893539	0 18 42 48 62 90 102 128 294 320 332 360 374 380 404 422	-1461731026668
SPT(16)	1268572532198547941	0 8 30 56 78 120 162 176 192 206 248 290 312 338 360 368	-1243699372266
SPT(16)	1268573035045443139	0 88 90 130 148 174 180 204 214 238 244 270 288 328 330 418	-740852477068
STPT(10)	1268573486909467787	0 2 42 44 72 74 102 104 144 146	-288988452420
SPT(16)	1268573569472507747	0 12 54 72 74 80 122 204 242 324 366 372 374 392 434 446	-206425412460
SPT(16)	1268573773501228409	0 12 14 138 140 164 182 210 242 270 288 312 314 438 440 452	-2396691798
SPT(16)	1268573907456323329	0 12 28 42 52 112 130 138 184 192 210 270 280 294 310 322	131558403122
SPT(16)	1268574091345364731	0 16 28 42 72 76 160 162 166 168 252 256 286 300 312 328	315447444524
SPT(16)	1268574336127183387	0 4 60 82 120 126 172 214 222 264 310 316 354 376 432 436	560229263180
STPT(10)	1268574550734161777	0 2 12 14 42 44 72 74 84 86	774836241570
SPT(16)	1268575154755494673	0 28 66 76 90 96 118 124 150 156 178 184 198 208 246 274	1378857574466