Prime p₀= 1983847858714292371 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 12 40 14 100 24 8 34 104 34 8 24 100 14 40 12 (?)
a_n: 0 12 52 66 166 190 198 232 336 370 378 402 502 516 556 568
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: 568
Found by: Landjunge
db: batch=80, k=16, 12 40 14 100 24 8 34 104

SPT(16)	1983845865354474391	0 6 18 28 40 76 78 96 112 130 132 168 180 190 202 208	-1993359817980
SPT(16)	1983846024224520737	0 12 30 50 54 80 134 150 266 282 336 362 366 386 404 416	-1834489771634
SPT(16)	1983846253281222917	0 14 26 42 66 152 182 236 240 294 324 410 434 450 462 476	-1605433069454
STPT(10)	1983846322525557557	0 2 12 14 72 74 132 134 144 146	-1536188734814
SPT(16)	1983847059412953487	0 4 70 82 100 124 142 244 252 354 372 396 414 426 492 496	-799301338884
SPT(16)	1983847839922583729	0 24 134 150 182 234 240 252 260 272 278 330 362 378 488 512	-18791708642
STPT(10)	1983848149944874391	0 2 6 8 48 50 90 92 96 98	291230582020
SPT(16)	1983848315330434841	0 18 38 116 138 158 176 200 228 252 270 290 312 390 410 428	456616142470
STPT(10)	1983848323345552919	0 2 12 14 90 92 168 170 180 182	464631260548
SPT(16)	1983848516383839997	0 36 40 82 100 106 114 136 210 232 240 246 264 306 310 346	657669547626
STPT(10)	1983848679162783029	0 2 42 44 60 62 78 80 120 122	820448490658