Prime p₀= 4305713855094379727 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Chooka
db: batch=85, k=10, 2 22 2 16 2

SPT(16)	4305712330704528547	0 24 34 46 96 102 130 150 196 216 244 250 300 312 322 346	-1524389851180
STPT(10)	4305712494401286149	0 2 18 20 30 32 42 44 60 62	-1360693093578
STPT(10)	4305713164300213481	0 2 6 8 48 50 90 92 96 98	-690794166246
STPT(10)	4305713473565407157	0 2 42 44 72 74 102 104 144 146	-381528972570
SPT(16)	4305713515565681749	0 10 24 112 160 162 190 220 234 264 292 294 342 430 444 454	-339528697978
SPT(16)	4305713650606875677	0 30 32 42 56 74 80 84 122 126 132 150 164 174 176 206	-204487504050
STPT(10)	4305714536309647289	0 2 12 14 90 92 168 170 180 182	681215267562
STPT(10)	4305714710762354507	0 2 72 74 102 104 132 134 204 206	855667974780
SPT(16)	4305714852349614839	0 32 42 50 72 84 144 182 192 230 290 302 324 332 342 374	997255235112
SPT(16)	4305715036498033381	0 48 72 90 112 130 136 160 168 192 198 216 238 256 280 328	1181403653654
STPT(10)	4305715431539200487	0 2 30 32 42 44 54 56 84 86	1576444820760