Prime p₀= 3216239078606112947 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 6 6 108 26 66 4 38 88 38 4 66 26 108 6 6 (?)
a_n: 0 6 12 120 146 212 216 254 342 380 384 450 476 584 590 596
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: 596
Found by: vaughan
db: batch=83, k=16, 6 6 108 26 66 4 38 88

SPT(16)	3216238002196189423	0 6 10 24 48 84 88 96 208 216 220 256 280 294 298 304	-1076409923524
SPT(16)	3216238375071227581	0 6 12 22 40 60 70 82 126 138 148 168 186 196 202 208	-703534885366
STPT(10)	3216238444538239187	0 2 60 62 72 74 84 86 144 146	-634067873760
TPT(14)	3216238444538239187	0 2 60 62 72 74 84 86 144 146 210 212 222 224	-634067873760
SPT(16)	3216238530047372761	0 18 22 46 52 78 88 126 172 210 220 246 252 276 280 298	-548558740186
SPT(16)	3216238883124176201	0 12 62 92 102 140 216 222 350 356 432 470 480 510 560 572	-195481936746
TPT(14)	3216239360935452737	0 2 72 74 84 86 132 134 144 146 174 176 210 212	282329339790
SPT(16)	3216239532744193597	0 4 52 94 154 174 234 250 306 322 382 402 462 504 552 556	454138080650
STPT(10)	3216239641884808067	0 2 60 62 72 74 84 86 144 146	563278695120
SPT(16)	3216239736778605671	0 38 66 98 138 140 150 270 326 446 456 458 498 530 558 596	658172492724
SPT(16)	3216240046533479279	0 30 44 84 122 140 152 198 224 270 282 300 338 378 392 422	967927366332