Prime p₀= 4364175608283443549 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: Autofuzzy
db: batch=85, k=10, 2 16 2 40 2

SPT(16)	4364172974269876777	0 6 34 52 66 70 72 76 210 214 216 220 234 252 280 286	-2634013566772
SPT(16)	4364172979418243491	0 118 120 148 208 222 250 268 300 318 346 360 420 448 450 568	-2628865200058
SPT(16)	4364173759814895847	0 52 60 64 72 130 150 160 186 196 216 274 282 286 294 346	-1848468547702
STPT(10)	4364174759135424929	0 2 12 14 90 92 168 170 180 182	-849148018620
STPT(10)	4364174827403306471	0 2 6 8 48 50 90 92 96 98	-780880137078
SPT(16)	4364175281557823491	0 28 36 60 78 96 130 132 196 198 232 250 268 292 300 328	-326725620058
STPT(10)	4364175795267978647	0 2 12 14 42 44 72 74 84 86	186984535098
SPT(16)	4364175868881117829	0 42 82 88 114 130 148 172 180 204 222 238 264 270 310 352	260597674280
STPT(10)	4364176336787769347	0 2 24 26 42 44 60 62 84 86	728504325798
STPT(10)	4364176382462297519	0 2 18 20 30 32 42 44 60 62	774178853970
STPT(10)	4364176410560813447	0 2 30 32 42 44 54 56 84 86	802277369898