Prime p₀= 1368372695949213893 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 38 12 4 24 60 20 6 16 6 20 60 24 4 12 38 (?)
a_n: 0 38 50 54 78 138 158 164 180 186 206 266 290 294 306 344
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: emoga
db: batch=77, k=16, 38 12 4 24 60 20 6 16

SPT(16)	1368372070171855831	0 40 66 76 78 106 118 120 208 210 222 250 252 262 288 328	-625777358062
SPT(16)	1368372143909245061	0 12 56 66 68 80 96 110 168 182 198 210 212 222 266 278	-552039968832
STPT(10)	1368372306004814807	0 2 54 56 72 74 90 92 144 146	-389944399086
TPT(14)	1368372349190948867	0 2 42 44 84 86 150 152 162 164 252 254 264 266	-346758265026
STPT(10)	1368372374583627221	0 2 6 8 48 50 90 92 96 98	-321365586672
STPT(10)	1368372644917088771	0 2 36 38 78 80 120 122 156 158	-51032125122
STPT(10)	1368373097099225339	0 2 48 50 90 92 132 134 180 182	401150011446
SPT(16)	1368373106586756139	0 4 18 22 28 30 94 100 162 168 232 234 240 244 258 262	410637542246
SPT(16)	1368373189046172733	0 40 46 64 78 106 118 138 196 216 228 256 270 288 294 334	493096958840
SPT(16)	1368373387344316081	0 22 60 78 106 108 138 180 238 280 310 312 340 358 396 418	691395102188
SPT(16)	1368373491580639513	0 4 28 54 90 124 154 168 256 270 300 334 370 396 420 424	795631425620