Prime p₀= 2079731900205251021 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: Landjunge
db: batch=80, k=10, 2 34 2 40 2

SPT(18)	2079730949160604591	0 12 22 36 88 96 108 130 148 150 168 190 202 210 262 276 286 298	-951044646430
SPT(16)	2079731155937412503	0 26 38 84 96 108 128 194 210 276 296 308 320 366 378 404	-744267838518
SPT(16)	2079731231666167747	0 52 66 72 96 114 150 156 160 166 202 220 244 250 264 316	-668539083274
STPT(10)	2079731544461103227	0 2 30 32 60 62 90 92 120 122	-355744147794
SPT(16)	2079731609095039069	0 22 42 52 88 150 240 280 312 352 442 504 540 550 570 592	-291110211952
SPT(16)	2079731857797997933	0 28 76 136 138 144 160 168 256 264 280 286 288 348 396 424	-42407253088
STPT(10)	2079732141237566789	0 2 30 32 180 182 330 332 360 362	241032315768
SPT(16)	2079732330723131573	0 48 56 86 140 194 216 290 324 398 420 474 528 558 566 614	430517880552
SPT(16)	2079732342714275819	0 30 48 50 84 114 122 138 164 180 188 218 252 254 272 302	442509024798
STPT(10)	2079733102557616577	0 2 30 32 42 44 54 56 84 86	1202352365556
STPT(10)	2079733254855214577	0 2 90 92 150 152 210 212 300 302	1354649963556