Prime p₀= 2498089394543916319 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 24 16 2 12 30 6 4 74 4 6 30 12 2 16 24 (?)
a_n: 0 24 40 42 54 84 90 94 168 172 178 208 220 222 238 262
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: 262
Found by: Penguin
db: batch=82, k=16, 24 16 2 12 30 6 4 74

SPT(16)	2498088290996758927	0 4 42 46 60 70 120 162 214 256 306 316 330 334 372 376	-1103547157392
SPT(16)	2498088788801197457	0 26 32 62 104 204 216 222 224 230 242 342 384 414 420 446	-605742718862
SPT(16)	2498088894656035237	0 42 46 76 100 112 120 156 160 196 204 216 240 270 274 316	-499887881082
STPT(10)	2498088912576082121	0 2 6 8 18 20 30 32 36 38	-481967834198
SPT(16)	2498089203783943409	0 12 68 72 78 90 122 132 170 180 212 224 230 234 290 302	-190759972910
STPT(10)	2498089224921604997	0 2 42 44 72 74 102 104 144 146	-169622311322
SPT(16)	2498089838062008703	0 10 16 28 58 60 66 84 130 148 154 156 186 198 204 214	443518092384
SPT(16)	2498090377524418949	0 48 72 108 132 158 180 192 230 242 264 290 314 350 374 422	982980502630
STPT(10)	2498090931972946361	0 2 6 8 18 20 30 32 36 38	1537429030042
STPT(10)	2498090989639138601	0 2 36 38 78 80 120 122 156 158	1595095222282
STPT(10)	2498091091554132131	0 2 30 32 78 80 126 128 156 158	1697010215812