Prime p₀= 2807680071668355649 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 52 20 6 46 30 6 18 86 18 6 30 46 6 20 52 (?)
a_n: 0 52 72 78 124 154 160 178 264 282 288 318 364 370 390 442
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: 442
Found by: [SG]ATA-Rolf
db: batch=82, k=16, 52 20 6 46 30 6 18 86

SPT(16)	2807678081864337271	0 76 78 118 130 132 160 172 186 198 226 228 240 280 282 358	-1989804018378
SPT(16)	2807678094542880371	0 42 68 96 126 128 158 182 306 330 360 362 392 420 446 488	-1977125475278
SPT(16)	2807678663816164331	0 12 20 36 48 50 90 92 96 98 138 140 152 168 176 188	-1407852191318
STPT(10)	2807678704797013511	0 2 36 38 78 80 120 122 156 158	-1366871342138
TPT(14)	2807679134570726831	0 2 6 8 30 32 258 260 420 422 438 440 450 452	-937097628818
SPT(16)	2807679354698377897	0 6 52 114 166 192 204 216 310 322 334 360 412 474 520 526	-716969977752
SPT(16)	2807680114243831777	0 10 30 34 82 112 132 184 192 244 264 294 342 346 366 376	42575476128
SPT(16)	2807680415313922139	0 50 62 84 92 102 104 110 132 138 140 150 158 180 192 242	343645566490
SPT(16)	2807680543299254479	0 48 58 150 162 178 204 208 234 238 264 280 292 384 394 442	471630898830
STPT(10)	2807680985442183671	0 2 6 8 18 20 30 32 36 38	913773828022
STPT(10)	2807681018332401119	0 2 18 20 30 32 42 44 60 62	946664045470