Prime p₀= 1538985400756536647 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 14 22 38 48 12 6 6 34 6 6 12 48 38 22 14 (?)
a_n: 0 14 36 74 122 134 140 146 180 186 192 204 252 290 312 326
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: 326
Found by: crashtech
db: batch=78, k=16, 14 22 38 48 12 6 6 34

SPT(16)	1538983561669882591	0 18 42 58 70 130 132 168 190 226 228 288 300 316 340 358	-1839086654056
STPT(10)	1538984309406452927	0 2 42 44 72 74 102 104 144 146	-1091350083720
STPT(10)	1538984341639676819	0 2 18 20 30 32 42 44 60 62	-1059116859828
SPT(16)	1538984756602245049	0 10 34 58 88 94 102 172 180 250 258 264 294 318 342 352	-644154291598
STPT(10)	1538984863374326939	0 2 18 20 30 32 42 44 60 62	-537382209708
SPT(16)	1538985141155540557	0 66 70 72 90 112 136 142 150 156 180 202 220 222 226 292	-259600996090
SPT(16)	1538985683611025239	0 10 18 42 78 90 94 108 154 168 172 184 220 244 252 262	282854488592
STPT(10)	1538985788388908537	0 2 60 62 72 74 84 86 144 146	387632371890
STPT(10)	1538985852240845807	0 2 84 86 162 164 240 242 324 326	451484309160
SPT(16)	1538986087975858169	0 8 18 30 60 72 92 102 110 120 140 152 182 194 204 212	687219321522
SPT(16)	1538986175281217419	0 18 28 42 52 72 100 138 142 180 208 228 238 252 262 280	774524680772