Prime p₀= 2395428406019043337 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 46 6 42 12 74 12 4 74 4 12 74 12 42 6 46 (?)
a_n: 0 46 52 94 106 180 192 196 270 274 286 360 372 414 420 466
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: 466
Found by: Landjunge
db: batch=81, k=16, 46 6 42 12 74 12 4 74

SPT(18)	2395426552897888331	0 38 68 86 90 92 138 152 162 266 276 290 336 338 342 360 390 428	-1853121155006
SPT(16)	2395427046744379099	0 22 48 114 118 130 154 190 222 258 282 294 298 364 390 412	-1359274664238
STPT(10)	2395427356816173917	0 2 12 14 42 44 72 74 84 86	-1049202869420
SPT(16)	2395427394613101353	0 24 30 98 114 140 150 198 290 338 348 374 390 458 464 488	-1011405941984
SPT(16)	2395428189265735423	0 4 10 46 130 186 204 238 276 310 328 384 468 504 510 514	-216753307914
STPT(10)	2395428289658103899	0 2 42 44 90 92 138 140 180 182	-116360939438
STPT(10)	2395428419845266329	0 2 18 20 30 32 42 44 60 62	13826222992
SPT(18)	2395428599820116767	0 4 36 102 106 124 154 184 222 274 312 342 372 390 394 460 492 496	193801073430
SPT(16)	2395428703388755403	0 20 36 54 66 78 96 140 144 188 206 218 230 248 264 284	297369712066
SPT(16)	2395428734039148473	0 8 18 54 66 98 150 164 180 194 246 278 290 326 336 344	328020105136
SPT(16)	2395429346040635171	0 2 60 66 78 108 126 176 192 242 260 290 302 308 366 368	940021591834