Prime p₀= 1368373491580639513 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 4 24 26 36 34 30 14 88 14 30 34 36 26 24 4 (?)
a_n: 0 4 28 54 90 124 154 168 256 270 300 334 370 396 420 424
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: 424
Found by: emoga
db: batch=77, k=16, 4 24 26 36 34 30 14 88

STPT(10)	1368372644917088771	0 2 36 38 78 80 120 122 156 158	-846663550742
SPT(16)	1368372695949213893	0 38 50 54 78 138 158 164 180 186 206 266 290 294 306 344	-795631425620
STPT(10)	1368373097099225339	0 2 48 50 90 92 132 134 180 182	-394481414174
SPT(16)	1368373106586756139	0 4 18 22 28 30 94 100 162 168 232 234 240 244 258 262	-384993883374
SPT(16)	1368373189046172733	0 40 46 64 78 106 118 138 196 216 228 256 270 288 294 334	-302534466780
SPT(16)	1368373387344316081	0 22 60 78 106 108 138 180 238 280 310 312 340 358 396 418	-104236323432
TPT(14)	1368373618710752867	0 2 12 14 24 26 90 92 222 224 234 236 264 266	127130113354
STPT(10)	1368374134195331687	0 2 12 14 72 74 132 134 144 146	642614692174
STPT(10)	1368374134524842111	0 2 6 8 18 20 30 32 36 38	642944202598
SPT(16)	1368374366037672743	0 24 110 114 116 126 144 150 170 176 194 204 206 210 296 320	874457033230
SPT(16)	1368375152337325537	0 12 60 72 100 132 160 184 240 264 292 324 352 364 412 424	1660756686024