Prime p₀= 3029658987956153237 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: [SG-FC] hl
db: batch=82, k=10, 2 22 2 16 2

STPT(10)	3029658261516067211	0 2 30 32 60 62 90 92 120 122	-726440086026
STPT(10)	3029658262370308901	0 2 66 68 138 140 210 212 276 278	-725585844336
SPT(16)	3029658755206219793	0 18 86 90 150 170 180 216 248 284 294 314 374 378 446 464	-232749933444
STPT(10)	3029658800980255061	0 2 36 38 78 80 120 122 156 158	-186975898176
SPT(16)	3029658859623575303	0 18 104 108 138 144 158 168 200 210 224 230 260 264 350 368	-128332577934
STPT(10)	3029658880783379807	0 2 30 32 42 44 54 56 84 86	-107172773430
SPT(16)	3029659019435089381	0 28 40 72 82 126 132 160 168 196 202 246 256 288 300 328	31478936144
SPT(16)	3029659298280874661	0 122 128 146 152 168 182 212 276 306 320 336 342 360 366 488	310324721424
SPT(16)	3029659387599663463	0 16 108 124 138 178 238 256 288 306 366 406 420 436 528 544	399643510226
STPT(10)	3029661420087694001	0 2 30 32 78 80 126 128 156 158	2432131540764
STPT(10)	3029661677806266299	0 2 18 20 30 32 42 44 60 62	2689850113062