Prime p₀= 2361571718251217387 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: Landjunge
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2361570449294409973	0 36 60 64 70 76 78 114 130 166 168 174 180 184 208 244	-1268956807414
SPT(16)	2361570675542012089	0 70 150 168 172 238 280 288 304 312 354 420 424 442 522 592	-1042709205298
SPT(16)	2361571118275284613	0 10 34 46 60 78 106 118 246 258 286 304 318 330 354 364	-599975932774
STPT(10)	2361571231049670551	0 2 6 8 18 20 30 32 36 38	-487201546836
SPT(16)	2361571408849649267	0 12 20 56 62 116 152 194 222 264 300 354 360 396 404 416	-309401568120
STPT(10)	2361571693883038337	0 2 30 32 42 44 54 56 84 86	-24368179050
SPT(16)	2361572996322398701	0 30 66 72 138 148 156 166 222 232 240 250 316 322 358 388	1278071181314
STPT(10)	2361573024342280739	0 2 12 14 90 92 168 170 180 182	1306091063352
SPT(16)	2361573195481689433	0 18 28 54 90 144 150 180 208 238 244 298 334 360 370 388	1477230472046
SPT(16)	2361573454726540381	0 60 70 132 136 148 210 216 292 298 360 372 376 438 448 508	1736475322994
TPT(14)	2361573937275946427	0 2 12 14 72 74 114 116 180 182 210 212 234 236	2219024729040