Prime p₀= 1596321688517122423 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 28 56 54 16 44 10 42 44 42 10 44 16 54 56 28 (?)
a_n: 0 28 84 138 154 198 208 250 294 336 346 390 406 460 516 544
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: 544
Found by: [SG-2W]Kurzer
db: batch=78, k=16, 28 56 54 16 44 10 42 44

STPT(10)	1596320076261802187	0 2 90 92 102 104 114 116 204 206	-1612255320236
SPT(16)	1596320349556993327	0 54 102 120 142 154 166 172 204 210 222 234 256 274 322 376	-1338960129096
STPT(10)	1596320578143413009	0 2 18 20 30 32 42 44 60 62	-1110373709414
TPT(14)	1596320856715892369	0 2 12 14 18 20 150 152 240 242 270 272 402 404	-831801230054
SPT(16)	1596320941352801819	0 24 38 42 68 74 108 150 152 194 228 234 260 264 278 302	-747164320604
SPT(16)	1596321578341482631	0 16 28 42 46 52 66 72 106 112 126 132 136 150 162 178	-110175639792
SPT(16)	1596321854050369847	0 42 90 92 114 122 150 174 200 224 252 260 282 284 332 374	165533247424
STPT(10)	1596321880857758321	0 2 36 38 78 80 120 122 156 158	192340635898
STPT(12)	1596322072750565087	0 2 30 32 42 44 102 104 114 116 144 146	384233442664
SPT(16)	1596322169023114993	0 84 204 208 238 250 270 358 360 448 468 480 510 514 634 718	480505992570
STPT(10)	1596322201496176541	0 2 30 32 78 80 126 128 156 158	512979054118