Prime p₀= 3006574209359225507 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: arkiss
db: batch=82, k=10, 2 28 2 28 2

SPT(16)	3006573416526565273	0 24 58 70 108 126 160 166 168 174 208 226 264 276 310 334	-792832660234
SPT(16)	3006573535558508701	0 22 60 100 120 142 172 192 196 216 246 268 288 328 366 388	-673800716806
TPT(16)	3006574000258257521	0 2 198 200 276 278 306 308 336 338 366 368 408 410 420 422	-209100967986
TPT(14)	3006574093370809979	0 2 12 14 42 44 78 80 90 92 108 110 138 140	-115988415528
STPT(10)	3006574128192623621	0 2 6 8 48 50 90 92 96 98	-81166601886
SPT(16)	3006574171140951799	0 12 72 100 114 124 198 220 222 244 318 328 342 370 430 442	-38218273708
SPT(16)	3006574482817073969	0 30 42 48 80 92 150 162 308 320 378 390 422 428 440 470	273457848462
STPT(10)	3006574691558861231	0 2 6 8 48 50 90 92 96 98	482199635724
STPT(10)	3006574742176332287	0 2 72 74 102 104 132 134 204 206	532817106780
SPT(16)	3006574793778551893	0 10 18 58 66 94 190 198 226 234 330 358 366 406 414 424	584419326386
SPT(16)	3006574951880032541	0 8 32 38 42 66 68 78 140 150 152 176 180 186 210 218	742520807034