Prime p₀= 2112026894680275431 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 18 74 10 44 4 68 30 22 30 68 4 44 10 74 18 (?)
a_n: 0 18 92 102 146 150 218 248 270 300 368 372 416 426 500 518
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: 518
Found by: Landjunge
db: batch=80, k=16, 18 74 10 44 4 68 30 22

SPT(16)	2112025646559369161	0 20 48 80 90 162 168 176 222 230 236 308 318 350 378 398	-1248120906270
SPT(16)	2112026012947154489	0 30 50 80 98 122 164 210 212 258 300 324 342 372 392 422	-881733120942
SPT(16)	2112026329661024009	0 2 38 48 72 74 90 122 150 182 198 200 224 234 270 272	-565019251422
STPT(10)	2112026341400356397	0 2 84 86 162 164 240 242 324 326	-553279919034
STPT(10)	2112026392175352407	0 2 30 32 42 44 54 56 84 86	-502504923024
SPT(16)	2112026522183708591	0 48 60 66 86 116 132 156 182 206 222 252 272 278 290 338	-372496566840
SPT(16)	2112026964728634127	0 30 54 70 72 94 100 150 286 336 342 364 366 382 406 436	70048358696
STPT(10)	2112026995260145697	0 2 30 32 42 44 54 56 84 86	100579870266
STPT(10)	2112027046267508309	0 2 30 32 60 62 90 92 120 122	151587232878
SPT(16)	2112027052853940979	0 12 18 22 60 64 78 102 130 154 168 172 210 214 220 232	158173665548
TPT(14)	2112027319474140191	0 2 6 8 48 50 90 92 126 128 138 140 186 188	424793864760