Prime p₀= 2327605439767370459 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: Landjunge
db: batch=81, k=10, 2 10 2 76 2

SPT(16)	2327603402385373529	0 20 60 102 110 134 224 240 242 258 348 372 380 422 462 482	-2037381996930
STPT(10)	2327604026217834149	0 2 42 44 60 62 78 80 120 122	-1413549536310
STPT(10)	2327605061374748327	0 2 30 32 42 44 54 56 84 86	-378392622132
STPT(10)	2327605251856724009	0 2 18 20 60 62 102 104 120 122	-187910646450
SPT(16)	2327605296490993433	0 26 54 66 78 84 104 146 168 210 230 236 248 260 288 314	-143276377026
SPT(16)	2327605380890002219	0 4 34 40 52 84 90 142 210 262 268 300 312 318 348 352	-58877368240
SPT(16)	2327605482317505073	0 36 40 54 66 88 136 166 258 288 336 358 370 384 388 424	42550134614
STPT(10)	2327605500872379989	0 2 18 20 30 32 42 44 60 62	61105009530
STPT(10)	2327605558342104749	0 2 42 44 60 62 78 80 120 122	118574734290
STPT(10)	2327605569350785457	0 2 30 32 42 44 54 56 84 86	129583414998
SPT(16)	2327605707917231431	0 16 30 42 72 82 100 118 120 138 156 166 196 208 222 238	268149860972