Prime p₀= 1257924077031056789 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: Theadalus
db: batch=77, k=10, 2 10 2 76 2

SPT(16)	1257922695657393613	0 58 64 70 94 124 136 150 154 168 180 210 234 240 246 304	-1381373663176
STPT(10)	1257922811306597801	0 2 30 32 78 80 126 128 156 158	-1265724458988
SPT(16)	1257922931204618521	0 6 36 66 82 100 150 166 276 292 342 360 376 406 436 442	-1145826438268
STPT(10)	1257923371209293051	0 2 6 8 48 50 90 92 96 98	-705821763738
SPT(16)	1257923496504572483	0 18 36 48 68 80 98 138 146 186 204 216 236 248 266 284	-580526484306
SPT(16)	1257924014111840389	0 10 12 18 30 42 48 52 90 94 100 112 124 130 132 142	-62919216400
STPT(10)	1257924120713754467	0 2 30 32 42 44 54 56 84 86	43682697678
SPT(16)	1257924241602881401	0 108 112 118 190 258 280 292 318 330 352 420 492 498 502 610	164571824612
STPT(10)	1257924300960374417	0 2 30 32 42 44 54 56 84 86	223929317628
SPT(16)	1257924457647075167	0 6 26 66 74 134 174 204 206 236 276 336 344 384 404 410	380616018378
STPT(10)	1257924623549449949	0 2 18 20 30 32 42 44 60 62	546518393160