Prime p₀= 1016815982718951533 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 20 6 40 2 88 14 30 64 30 14 88 2 40 6 20 (?)
a_n: 0 20 26 66 68 156 170 200 264 294 308 396 398 438 444 464
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 464
Found by: HenkM
db: batch=76, k=16, 20 6 40 2 88 14 30 64

SPT(16)	1016814592508364017	0 2 26 60 104 114 132 146 180 194 212 222 266 300 324 326	-1390210587516
STPT(10)	1016814749105189987	0 2 30 32 42 44 54 56 84 86	-1233613761546
SPT(16)	1016814877697373967	0 6 10 16 34 60 106 150 196 240 286 312 330 336 340 346	-1105021577566
SPT(16)	1016815586800396189	0 10 52 70 78 108 114 130 132 148 154 184 192 210 252 262	-395918555344
SPT(16)	1016815731728943323	0 30 38 74 80 86 126 144 170 188 228 234 240 276 284 314	-250990008210
STPT(10)	1016815912790002847	0 2 30 32 42 44 54 56 84 86	-69928948686
SPT(16)	1016816126834283719	0 32 38 80 102 114 150 210 212 272 308 320 342 384 390 422	144115332186
STPT(10)	1016816422514650787	0 2 30 32 42 44 54 56 84 86	439795699254
SPT(16)	1016816590445975029	0 12 22 58 60 78 124 138 214 228 274 292 294 330 340 352	607727023496
SPT(16)	1016816616369211573	0 34 48 54 88 138 156 160 264 268 286 336 370 376 390 424	633650260040
SPT(16)	1016816877807061073	0 14 18 78 110 114 120 134 144 158 164 168 200 260 264 278	895088109540