Prime p₀= 1268574550734161777 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Megacruncher
db: batch=77, k=10, 2 10 2 28 2

SPT(16)	1268573569472507747	0 12 54 72 74 80 122 204 242 324 366 372 374 392 434 446	-981261654030
SPT(16)	1268573773501228409	0 12 14 138 140 164 182 210 242 270 288 312 314 438 440 452	-777232933368
STPT(10)	1268573775897920207	0 2 42 44 72 74 102 104 144 146	-774836241570
SPT(16)	1268573907456323329	0 12 28 42 52 112 130 138 184 192 210 270 280 294 310 322	-643277838448
SPT(16)	1268574091345364731	0 16 28 42 72 76 160 162 166 168 252 256 286 300 312 328	-459388797046
SPT(16)	1268574336127183387	0 4 60 82 120 126 172 214 222 264 310 316 354 376 432 436	-214606978390
SPT(16)	1268575154755494673	0 28 66 76 90 96 118 124 150 156 178 184 198 208 246 274	604021332896
SPT(16)	1268575384411245923	0 18 48 50 74 96 108 138 146 176 188 210 234 236 266 284	833677084146
SPT(16)	1268575555266003247	0 60 72 82 90 102 124 130 156 162 184 196 204 214 226 286	1004531841470
STPT(10)	1268575633176246089	0 2 30 32 60 62 90 92 120 122	1082442084312
SPT(16)	1268576433448994429	0 30 42 68 90 102 104 114 128 138 140 152 174 200 212 242	1882714832652