Prime p₀= 3282021878442507251 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: JonS
db: batch=83, k=10, 2 4 2 10 2

STPT(12)	3282020294830462607	0 2 30 32 42 44 102 104 114 116 144 146	-1583612044644
SPT(16)	3282020582627483701	0 6 30 36 42 72 90 132 226 268 286 316 322 328 352 358	-1295815023550
SPT(16)	3282020744826128639	0 12 14 48 54 98 102 132 320 350 354 398 404 438 440 452	-1133616378612
SPT(16)	3282020768796070321	0 10 18 40 52 60 72 126 142 196 208 216 228 250 258 268	-1109646436930
SPT(16)	3282020777991849997	0 34 90 126 174 186 202 210 256 264 280 292 340 376 432 466	-1100450657254
SPT(16)	3282021017020294831	0 16 78 106 112 118 132 148 240 256 270 276 282 310 372 388	-861422212420
SPT(16)	3282022021892916647	0 42 60 74 176 200 204 234 242 272 276 300 402 416 434 476	143450409396
STPT(10)	3282022028353169009	0 2 18 20 30 32 42 44 60 62	149910661758
SPT(16)	3282022346928961819	0 24 30 52 54 72 78 100 162 184 190 208 210 232 238 262	468486454568
STPT(10)	3282022380672544679	0 2 18 20 30 32 42 44 60 62	502230037428
TPT(14)	3282022839813169799	0 2 180 182 240 242 270 272 282 284 348 350 378 380	961370662548