Prime p₀= 2361571693883038337 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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 28 2 10 2

STPT(10)	2361570422893328807	0 2 30 32 42 44 54 56 84 86	-1270989709530
SPT(16)	2361570449294409973	0 36 60 64 70 76 78 114 130 166 168 174 180 184 208 244	-1244588628364
SPT(16)	2361570675542012089	0 70 150 168 172 238 280 288 304 312 354 420 424 442 522 592	-1018341026248
SPT(16)	2361571118275284613	0 10 34 46 60 78 106 118 246 258 286 304 318 330 354 364	-575607753724
STPT(10)	2361571231049670551	0 2 6 8 18 20 30 32 36 38	-462833367786
SPT(16)	2361571408849649267	0 12 20 56 62 116 152 194 222 264 300 354 360 396 404 416	-285033389070
STPT(10)	2361571718251217387	0 2 24 26 42 44 60 62 84 86	24368179050
SPT(16)	2361572996322398701	0 30 66 72 138 148 156 166 222 232 240 250 316 322 358 388	1302439360364
STPT(10)	2361573024342280739	0 2 12 14 90 92 168 170 180 182	1330459242402
SPT(16)	2361573195481689433	0 18 28 54 90 144 150 180 208 238 244 298 334 360 370 388	1501598651096
SPT(16)	2361573454726540381	0 60 70 132 136 148 210 216 292 298 360 372 376 438 448 508	1760843502044