Prime p₀= 1257923371209293051 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 40 2 40 2 4 2 (?)
a_n: 0 2 6 8 48 50 90 92 96 98
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: 98
Found by: Theadalus
db: batch=77, k=10, 2 4 2 40 2

TPT(14)	1257921725633916377	0 2 144 146 234 236 264 266 270 272 282 284 324 326	-1645575376674
SPT(16)	1257921777551103031	0 22 28 30 48 58 72 112 246 286 300 310 328 330 336 358	-1593658190020
STPT(10)	1257922471278709937	0 2 30 32 42 44 54 56 84 86	-899930583114
SPT(16)	1257922695657393613	0 58 64 70 94 124 136 150 154 168 180 210 234 240 246 304	-675551899438
STPT(10)	1257922811306597801	0 2 30 32 78 80 126 128 156 158	-559902695250
SPT(16)	1257922931204618521	0 6 36 66 82 100 150 166 276 292 342 360 376 406 436 442	-440004674530
SPT(16)	1257923496504572483	0 18 36 48 68 80 98 138 146 186 204 216 236 248 266 284	125295279432
SPT(16)	1257924014111840389	0 10 12 18 30 42 48 52 90 94 100 112 124 130 132 142	642902547338
STPT(10)	1257924077031056789	0 2 12 14 90 92 168 170 180 182	705821763738
STPT(10)	1257924120713754467	0 2 30 32 42 44 54 56 84 86	749504461416
SPT(16)	1257924241602881401	0 108 112 118 190 258 280 292 318 330 352 420 492 498 502 610	870393588350