Prime p₀= 2562560059163420311 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 52 26 10 12 50 6 30 16 30 6 50 12 10 26 52 (?)
a_n: 0 52 78 88 100 150 156 186 202 232 238 288 300 310 336 388
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: 388
Found by: JayPi
db: batch=82, k=16, 52 26 10 12 50 6 30 16

SPT(16)	2562559088353562321	0 6 56 66 80 92 122 168 170 216 246 258 272 282 332 338	-970809857990
STPT(10)	2562559264427726357	0 2 54 56 132 134 210 212 264 266	-794735693954
SPT(16)	2562559524469096513	0 4 34 40 70 88 96 100 114 118 126 144 174 180 210 214	-534694323798
SPT(16)	2562559536034036829	0 2 30 38 44 78 80 98 114 132 134 168 174 182 210 212	-523129383482
SPT(16)	2562559553863793563	0 4 24 28 30 76 144 150 154 160 228 274 276 280 300 304	-505299626748
SPT(16)	2562559608594519007	0 22 40 64 66 82 102 112 144 154 174 190 192 216 234 256	-450568901304
TPT(14)	2562560080827986801	0 2 78 80 168 170 198 200 240 242 258 260 288 290	21664566490
SPT(16)	2562560142507898867	0 22 34 36 42 46 64 76 90 102 120 124 130 132 144 166	83344478556
SPT(16)	2562560302105398037	0 10 42 72 76 102 136 156 190 210 244 270 274 304 336 346	242941977726
SPT(18)	2562560329458708203	0 8 18 20 36 50 80 84 98 126 140 144 174 188 204 206 216 224	270295287892
STPT(10)	2562560480004087707	0 2 42 44 72 74 102 104 144 146	420840667396