Prime p₀= 2826501357251435597 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: JayPi
db: batch=82, k=10, 2 22 2 16 2

STPT(10)	2826500259026642459	0 2 18 20 30 32 42 44 60 62	-1098224793138
SPT(16)	2826500421877565221	0 6 10 28 60 88 126 166 180 220 258 286 318 336 340 346	-935373870376
SPT(16)	2826500825884476539	0 2 42 122 140 144 182 192 212 222 260 264 282 362 402 404	-531366959058
SPT(16)	2826500964525785567	0 14 126 146 170 212 242 252 254 264 294 336 360 380 492 506	-392725650030
STPT(10)	2826501236349492629	0 2 12 14 90 92 168 170 180 182	-120901942968
SPT(16)	2826501294740151019	0 10 54 60 78 84 90 144 154 208 214 220 238 244 288 298	-62511284578
STPT(10)	2826501774987049067	0 2 30 32 42 44 54 56 84 86	417735613470
STPT(10)	2826502316588670689	0 2 12 14 30 32 48 50 60 62	959337235092
SPT(16)	2826502756900312759	0 34 54 90 132 142 174 202 240 268 300 310 352 388 408 442	1399648877162
STPT(10)	2826502794764127341	0 2 30 32 78 80 126 128 156 158	1437512691744
STPT(10)	2826502863609503537	0 2 30 32 42 44 54 56 84 86	1506358067940