Prime p₀= 3031612165143844127 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: Alnitak2019
db: batch=82, k=10, 2 22 2 16 2

SPT(20)	3031609540876417337	0 6 42 50 56 74 96 132 146 176 180 210 224 260 282 300 306 314 350 356	-2624267426790
SPT(16)	3031610107333546097	0 14 20 32 60 62 104 146 240 282 324 326 354 366 372 386	-2057810298030
TPT(14)	3031611387298452767	0 2 42 44 84 86 174 176 180 182 240 242 354 356	-777845391360
SPT(16)	3031611746329420171	0 30 52 60 88 166 180 210 238 268 282 360 388 396 418 448	-418814423956
SPT(16)	3031611876055773433	0 54 76 90 100 106 148 166 198 216 258 264 274 288 310 364	-289088070694
STPT(10)	3031611888969917579	0 2 18 20 30 32 42 44 60 62	-276173926548
STPT(10)	3031612394914927001	0 2 6 8 48 50 90 92 96 98	229771082874
SPT(16)	3031612444175743303	0 10 16 30 36 58 66 106 108 148 156 178 184 198 204 214	279031899176
SPT(16)	3031613483215629623	0 26 78 80 86 90 120 150 194 224 254 258 264 266 318 344	1318071785496
STPT(10)	3031613765729352281	0 2 30 32 78 80 126 128 156 158	1600585508154
STPT(10)	3031614210899008289	0 2 42 44 60 62 78 80 120 122	2045755164162