Prime p₀= 2826501236349492629 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: JayPi
db: batch=82, k=10, 2 10 2 76 2

SPT(16)	2826499897666454887	0 16 22 30 36 42 72 106 120 154 184 190 196 204 210 226	-1338683037742
SPT(16)	2826500112901653469	0 10 28 30 84 102 124 130 162 168 190 208 262 264 282 292	-1123447839160
STPT(10)	2826500259026642459	0 2 18 20 30 32 42 44 60 62	-977322850170
SPT(16)	2826500421877565221	0 6 10 28 60 88 126 166 180 220 258 286 318 336 340 346	-814471927408
SPT(16)	2826500825884476539	0 2 42 122 140 144 182 192 212 222 260 264 282 362 402 404	-410465016090
SPT(16)	2826500964525785567	0 14 126 146 170 212 242 252 254 264 294 336 360 380 492 506	-271823707062
SPT(16)	2826501294740151019	0 10 54 60 78 84 90 144 154 208 214 220 238 244 288 298	58390658390
STPT(10)	2826501357251435597	0 2 24 26 42 44 60 62 84 86	120901942968
STPT(10)	2826501774987049067	0 2 30 32 42 44 54 56 84 86	538637556438
STPT(10)	2826502316588670689	0 2 12 14 30 32 48 50 60 62	1080239178060
SPT(16)	2826502756900312759	0 34 54 90 132 142 174 202 240 268 300 310 352 388 408 442	1520550820130