Prime p₀= 2068710542973772679 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: Landjunge
db: batch=80, k=10, 2 40 2 16 2

STPT(10)	2068709602124231177	0 2 42 44 72 74 102 104 144 146	-940849541502
STPT(10)	2068709698878435461	0 2 36 38 78 80 120 122 156 158	-844095337218
SPT(16)	2068709760016667731	0 10 18 22 36 46 130 138 160 168 252 262 276 280 288 298	-782957104948
STPT(10)	2068710021979060307	0 2 12 14 42 44 72 74 84 86	-520994712372
STPT(10)	2068710295794622169	0 2 18 20 30 32 42 44 60 62	-247179150510
SPT(16)	2068710406467905089	0 10 22 52 58 70 120 130 162 172 222 234 240 270 282 292	-136505867590
STPT(10)	2068710564691814567	0 2 30 32 42 44 54 56 84 86	21718041888
SPT(16)	2068710657886379489	0 54 104 108 168 180 192 224 258 290 302 314 374 378 428 482	114912606810
SPT(16)	2068711113474670411	0 10 40 48 60 66 88 120 136 168 190 196 208 216 246 256	570500897732
SPT(16)	2068711348897755649	0 52 54 72 118 124 142 162 280 300 318 324 370 388 390 442	805923982970
STPT(10)	2068711762560402929	0 2 12 14 30 32 48 50 60 62	1219586630250