Prime p₀= 2049828292927429517 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: Dingo
db: batch=80, k=10, 2 22 2 16 2

SPT(16)	2049827290019602013	0 60 116 128 188 204 216 218 306 308 320 336 396 408 464 524	-1002907827504
STPT(10)	2049827607467081381	0 2 30 32 60 62 90 92 120 122	-685460348136
SPT(16)	2049827744821678231	0 40 42 130 190 198 222 232 288 298 322 330 390 478 480 520	-548105751286
TPT(16)	2049827922483203351	0 2 30 32 60 62 150 152 168 170 210 212 318 320 396 398	-370444226166
SPT(16)	2049827938550996147	0 36 60 74 96 104 134 150 176 192 222 230 252 266 290 326	-354376433370
SPT(16)	2049827993797218751	0 6 18 48 70 76 96 102 106 112 132 138 160 190 202 208	-299130210766
SPT(16)	2049828299285481863	0 66 68 108 110 194 200 206 228 234 240 324 326 366 368 434	6358052346
STPT(10)	2049828323552562071	0 2 30 32 78 80 126 128 156 158	30625132554
SPT(16)	2049828557234719397	0 6 42 110 114 120 146 164 222 240 266 272 276 344 380 386	264307289880
STPT(10)	2049828942718759751	0 2 6 8 48 50 90 92 96 98	649791330234
STPT(10)	2049829012614354857	0 2 54 56 72 74 90 92 144 146	719686925340