Prime p₀= 2796324816481853513 starts a Symmetric tuple of 18 consecutive primes (SPT).
d_n: 0 6 62 36 10 90 2 40 12 38 12 40 2 90 10 36 62 6 (?)
a_n: 0 6 68 104 114 204 206 246 258 296 308 348 350 440 450 486 548 554
All 18 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 554
Found by: Roadranner
db: batch=82, k=18, 6 62 36 10 90 2 40 12 38

SPT(16)	2796323008933105439	0 32 50 62 74 78 84 102 170 188 194 198 210 222 240 272	-1807548748074
SPT(16)	2796323094766519391	0 38 50 90 126 140 146 150 188 192 198 212 248 288 300 338	-1721715334122
SPT(13)	2796323099908820929	0 18 30 42 90 132 150 168 210 258 270 282 300	-1716573032584
SPT(16)	2796323438674455629	0 14 60 90 92 98 104 108 284 288 294 300 302 332 378 392	-1377807397884
SPT(16)	2796323439534704203	0 4 34 48 60 90 126 150 274 298 334 364 376 390 420 424	-1376947149310
SPT(16)	2796324713970470083	0 36 48 90 108 130 150 178 186 214 234 256 274 316 328 364	-102511383430
STPT(10)	2796324860626306967	0 2 60 62 72 74 84 86 144 146	44144453454
SPT(16)	2796324959772991039	0 4 12 82 130 154 172 184 210 222 240 264 312 382 390 394	143291137526
STPT(10)	2796325396244131481	0 2 36 38 78 80 120 122 156 158	579762277968
SPT(16)	2796325508016288539	0 84 102 110 128 210 254 342 350 438 482 564 582 590 608 692	691534435026
SPT(16)	2796325667032891837	0 30 46 96 132 180 202 232 264 294 316 364 400 450 466 496	850551038324