Prime p₀= 2456228650555112933 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 68 12 6 18 4 2 24 76 24 2 4 18 6 12 68 (?)
a_n: 0 68 80 86 104 108 110 134 210 234 236 240 258 264 276 344
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: 344
Found by: JayPi
db: batch=82, k=16, 68 12 6 18 4 2 24 76

STPT(10)	2456227350615423569	0 2 30 32 60 62 90 92 120 122	-1299939689364
STPT(10)	2456227764711286607	0 2 30 32 42 44 54 56 84 86	-885843826326
SPT(16)	2456228003284211257	0 12 24 30 34 40 70 82 84 96 126 132 136 142 154 166	-647270901676
TPT(14)	2456228141415935069	0 2 30 32 78 80 108 110 210 212 240 242 252 254	-509139177864
STPT(10)	2456228144149169627	0 2 12 14 42 44 72 74 84 86	-506405943306
SPT(16)	2456228397757709951	0 6 36 38 56 102 116 120 188 192 206 252 270 272 302 308	-252797402982
SPT(16)	2456228922083532901	0 12 42 70 76 82 126 180 232 286 330 336 342 370 400 412	271528419968
STPT(10)	2456228928916205879	0 2 42 44 60 62 78 80 120 122	278361092946
STPT(10)	2456229019021203857	0 2 54 56 72 74 90 92 144 146	368466090924
SPT(16)	2456229107701265587	0 4 40 52 70 82 106 120 136 150 174 186 204 216 252 256	457146152654
SPT(16)	2456229148764276989	0 8 42 54 90 102 110 120 122 132 140 152 188 200 234 242	498209164056