Prime p₀= 1372630672605386009 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 60 62
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: 62
Found by: vinn@[CNT]
db: batch=77, k=10, 2 10 2 16 2

SPT(16)	1372629678587192659	0 34 40 58 82 90 100 118 204 222 232 240 264 282 288 322	-994018193350
TPT(14)	1372629682739757929	0 2 60 62 180 182 210 212 300 302 510 512 522 524	-989865628080
TPT(14)	1372629987619200677	0 2 54 56 174 176 204 206 300 302 330 332 360 362	-684986185332
SPT(18)	1372630116261902923	0 60 178 228 244 258 294 304 306 328 330 340 376 390 406 456 574 634	-556343483086
SPT(16)	1372630266529068737	0 26 36 72 134 182 204 222 224 242 264 312 374 410 420 446	-406076317272
SPT(16)	1372630653079843021	0 18 60 76 90 126 130 132 166 168 172 208 222 238 280 298	-19525542988
SPT(16)	1372630745931397219	0 10 18 28 40 54 70 88 120 138 154 168 180 190 198 208	73326011210
STPT(10)	1372630834970182901	0 2 36 38 78 80 120 122 156 158	162364796892
SPT(16)	1372631134679287411	0 22 42 60 90 102 106 120 178 192 196 208 238 256 276 298	462073901402
STPT(10)	1372632046965999731	0 2 6 8 18 20 30 32 36 38	1374360613722
SPT(16)	1372632642681076787	0 6 14 26 36 80 134 206 234 306 360 404 414 426 434 440	1970075690778