Prime p₀= 2406684706812484037 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: JayPi
db: batch=82, k=10, 2 28 2 28 2

SPT(16)	2406683068046039053	0 10 18 24 36 66 94 96 118 120 148 178 190 196 204 214	-1638766444984
STPT(12)	2406683228102436299	0 2 30 32 42 44 78 80 90 92 120 122	-1478710047738
SPT(16)	2406683655799194547	0 6 24 34 76 94 130 196 234 300 336 354 396 406 424 430	-1051013289490
SPT(16)	2406683724403914023	0 54 56 78 80 96 110 144 200 234 248 264 266 288 290 344	-982408570014
STPT(10)	2406683917062936617	0 2 30 32 42 44 54 56 84 86	-789749547420
TPT(14)	2406684696676067999	0 2 48 50 72 74 90 92 162 164 198 200 312 314	-10136416038
STPT(10)	2406684926525084741	0 2 6 8 48 50 90 92 96 98	219712600704
STPT(10)	2406685002141256337	0 2 54 56 72 74 90 92 144 146	295328772300
SPT(16)	2406685045684692007	0 6 30 42 54 60 112 132 154 174 226 232 244 256 280 286	338872207970
SPT(16)	2406685141530013397	0 42 44 72 86 126 132 144 212 224 230 270 284 312 314 356	434717529360
STPT(10)	2406685330532699897	0 2 90 92 102 104 114 116 204 206	623720215860