Prime p₀= 1537776159042901621 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 6 6 4 60 54 36 20 40 20 36 54 60 4 6 6 (?)
a_n: 0 6 12 16 76 130 166 186 226 246 282 336 396 400 406 412
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: 412
Found by: Spectrum
db: batch=78, k=16, 6 6 4 60 54 36 20 40

SPT(16)	1537775263645891667	0 12 92 116 216 242 246 260 276 290 294 320 420 444 524 536	-895397009954
SPT(20)	1537775539560346049	0 14 18 60 78 98 164 174 200 218 234 252 278 288 354 374 392 434 438 452	-619482555572
STPT(10)	1537775625896809289	0 2 48 50 90 92 132 134 180 182	-533146092332
STPT(10)	1537775956436869031	0 2 36 38 78 80 120 122 156 158	-202606032590
STPT(10)	1537776003678487997	0 2 54 56 72 74 90 92 144 146	-155364413624
SPT(16)	1537776067952165659	0 28 34 60 72 112 142 168 244 270 300 340 352 378 384 412	-91090735962
SPT(16)	1537776183928742309	0 24 44 54 62 104 114 128 294 308 318 360 368 378 398 422	24885840688
SPT(16)	1537776414931789531	0 16 36 46 48 58 70 130 228 288 300 310 312 322 342 358	255888887910
SPT(16)	1537776512788917847	0 52 76 90 112 160 180 202 294 316 336 384 406 420 444 496	353746016226
SPT(16)	1537776518644056181	0 12 22 40 46 52 100 102 106 108 156 162 168 186 196 208	359601154560
STPT(10)	1537776989329895159	0 2 18 20 30 32 42 44 60 62	830286993538