Prime p₀= 2170331167087859057 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: [SG-FC] hl
db: batch=81, k=10, 2 40 2 28 2

SPT(16)	2170330142047959211	0 60 82 102 112 126 130 138 250 258 262 276 286 306 328 388	-1025039899846
TPT(14)	2170330298755308449	0 2 138 140 198 200 240 242 258 260 378 380 420 422	-868332550608
STPT(10)	2170330573910595791	0 2 36 38 78 80 120 122 156 158	-593177263266
SPT(16)	2170330601846742469	0 12 30 54 58 78 114 144 208 238 274 294 298 322 340 352	-565241116588
STPT(12)	2170330663333590419	0 2 72 74 132 134 138 140 198 200 270 272	-503754268638
SPT(16)	2170330803503246303	0 24 38 44 54 78 126 170 204 248 296 320 330 336 350 374	-363584612754
SPT(16)	2170331240337209371	0 10 22 60 120 130 156 192 196 232 258 268 328 366 378 388	73249350314
SPT(16)	2170331291750988329	0 104 110 138 152 168 230 270 302 342 404 420 434 462 468 572	124663129272
STPT(10)	2170331445362716577	0 2 30 32 42 44 54 56 84 86	278274857520
SPT(16)	2170331501594677339	0 10 18 34 58 78 88 130 132 174 184 204 228 244 252 262	334506818282
SPT(16)	2170331754854749141	0 10 90 96 108 118 138 162 166 190 210 220 232 238 318 328	587766890084