Prime p₀= 3216238883124176201 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 12 50 30 10 38 76 6 128 6 76 38 10 30 50 12 (?)
a_n: 0 12 62 92 102 140 216 222 350 356 432 470 480 510 560 572
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: 572
Found by: vaughan
db: batch=83, k=16, 12 50 30 10 38 76 6 128

SPT(16)	3216237525122576057	0 24 36 96 146 230 252 266 270 284 306 390 440 500 512 536	-1358001600144
SPT(16)	3216238002196189423	0 6 10 24 48 84 88 96 208 216 220 256 280 294 298 304	-880927986778
SPT(16)	3216238375071227581	0 6 12 22 40 60 70 82 126 138 148 168 186 196 202 208	-508052948620
STPT(10)	3216238444538239187	0 2 60 62 72 74 84 86 144 146	-438585937014
TPT(14)	3216238444538239187	0 2 60 62 72 74 84 86 144 146 210 212 222 224	-438585937014
SPT(16)	3216238530047372761	0 18 22 46 52 78 88 126 172 210 220 246 252 276 280 298	-353076803440
SPT(16)	3216239078606112947	0 6 12 120 146 212 216 254 342 380 384 450 476 584 590 596	195481936746
TPT(14)	3216239360935452737	0 2 72 74 84 86 132 134 144 146 174 176 210 212	477811276536
SPT(16)	3216239532744193597	0 4 52 94 154 174 234 250 306 322 382 402 462 504 552 556	649620017396
STPT(10)	3216239641884808067	0 2 60 62 72 74 84 86 144 146	758760631866
SPT(16)	3216239736778605671	0 38 66 98 138 140 150 270 326 446 456 458 498 530 558 596	853654429470