Prime p₀= 1685617712827352597 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: Donn Pike (USAF Ret)
db: batch=79, k=10, 2 40 2 28 2

STPT(10)	1685616700519007951	0 2 30 32 78 80 126 128 156 158	-1012308344646
STPT(10)	1685616729756280157	0 2 42 44 72 74 102 104 144 146	-983071072440
TPT(14)	1685616768356090237	0 2 90 92 192 194 204 206 222 224 360 362 420 422	-944471262360
SPT(16)	1685616792567154507	0 34 36 42 76 102 126 132 244 250 274 300 334 340 342 376	-920260198090
SPT(16)	1685617036124502497	0 24 44 84 90 122 132 162 254 284 294 326 332 372 392 416	-676702850100
STPT(10)	1685617626031287899	0 2 18 20 30 32 42 44 60 62	-86796064698
STPT(12)	1685618410680158807	0 2 12 14 30 32 54 56 72 74 84 86	697852806210
SPT(20)	1685618481480550237	0 4 12 60 76 90 112 144 154 162 214 222 232 264 286 300 316 364 372 376	768653197640
TPT(14)	1685618751293740301	0 2 36 38 78 80 96 98 120 122 210 212 258 260	1038466387704
SPT(16)	1685619064415201897	0 20 60 102 120 144 174 224 330 380 410 434 452 494 534 554	1351587849300
SPT(16)	1685619422943467549	0 30 72 98 104 114 194 198 224 228 308 318 324 350 392 422	1710116114952