Prime p₀= 3717686032633210997 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 40 2 40 2 58 2 (?)
a_n: 0 2 60 62 102 104 144 146 204 206
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: 206
Found by: [AF] Kalianthys
db: batch=84, k=10, 2 58 2 40 2

SPT(16)	3717684405567221101	0 12 18 48 70 88 102 112 138 148 162 180 202 232 238 250	-1627065989896
STPT(12)	3717684743000857709	0 2 12 14 42 44 78 80 108 110 120 122	-1289632353288
SPT(16)	3717684747242796613	0 40 48 70 118 166 180 216 280 316 330 378 426 448 456 496	-1285390414384
STPT(10)	3717684966258557387	0 2 30 32 162 164 294 296 324 326	-1066374653610
SPT(16)	3717685002785137481	0 38 80 110 128 146 158 248 258 348 360 378 396 426 468 506	-1029848073516
SPT(16)	3717685270031218679	0 20 32 62 90 144 162 180 182 200 218 272 300 330 342 362	-762601992318
SPT(16)	3717686568261537623	0 24 108 140 146 174 180 198 206 224 230 258 264 296 380 404	535628326626
SPT(16)	3717686641307894821	0 10 12 16 46 48 60 118 150 208 220 222 252 256 258 268	608674683824
SPT(16)	3717687241658398511	0 2 26 68 90 140 150 156 182 188 198 248 270 312 336 338	1209025187514
STPT(10)	3717687885549573107	0 2 12 14 42 44 72 74 84 86	1852916362110
STPT(10)	3717687906061147301	0 2 90 92 108 110 126 128 216 218	1873427936304