Prime p₀= 4305714710762354507 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 70 2 28 2 28 2 70 2 (?)
a_n: 0 2 72 74 102 104 132 134 204 206
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: 206
Found by: Chooka
db: batch=85, k=10, 2 70 2 28 2

STPT(10)	4305713164300213481	0 2 6 8 48 50 90 92 96 98	-1546462141026
STPT(10)	4305713473565407157	0 2 42 44 72 74 102 104 144 146	-1237196947350
SPT(16)	4305713515565681749	0 10 24 112 160 162 190 220 234 264 292 294 342 430 444 454	-1195196672758
SPT(16)	4305713650606875677	0 30 32 42 56 74 80 84 122 126 132 150 164 174 176 206	-1060155478830
STPT(10)	4305713855094379727	0 2 24 26 42 44 60 62 84 86	-855667974780
STPT(10)	4305714536309647289	0 2 12 14 90 92 168 170 180 182	-174452707218
SPT(16)	4305714852349614839	0 32 42 50 72 84 144 182 192 230 290 302 324 332 342 374	141587260332
SPT(16)	4305715036498033381	0 48 72 90 112 130 136 160 168 192 198 216 238 256 280 328	325735678874
STPT(10)	4305715431539200487	0 2 30 32 42 44 54 56 84 86	720776845980
STPT(10)	4305716238768175211	0 2 36 38 78 80 120 122 156 158	1528005820704
SPT(16)	4305716734123381309	0 12 28 42 118 120 124 130 162 168 172 174 250 264 280 292	2023361026802