Prime p₀= 1368614245729093147 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 102 12 6 4 20 10 30 8 30 10 20 4 6 12 102 (?)
a_n: 0 102 114 120 124 144 154 184 192 222 232 252 256 262 274 376
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: 376
Found by: emoga
db: batch=77, k=16, 102 12 6 4 20 10 30 8

SPT(16)	1368613135532591737	0 34 60 64 70 76 84 126 154 196 204 210 216 220 246 280	-1110196501410
SPT(16)	1368613219861424401	0 18 60 72 76 100 132 142 156 166 198 222 226 238 280 298	-1025867668746
STPT(10)	1368613242106714661	0 2 30 32 78 80 126 128 156 158	-1003622378486
SPT(16)	1368613579599159263	0 14 104 140 146 186 188 194 270 276 278 318 324 360 450 464	-666129933884
STPT(10)	1368614131789587959	0 2 48 50 90 92 132 134 180 182	-113939505188
STPT(10)	1368614149305100991	0 2 138 140 168 170 198 200 336 338	-96423992156
SPT(16)	1368614324476009211	0 6 20 56 72 108 110 128 150 168 170 206 222 258 272 278	78746916064
SPT(16)	1368614408681563921	0 16 52 82 100 108 142 160 198 216 250 258 276 306 342 358	162952470774
SPT(20)	1368614693146498877	0 44 72 92 162 164 182 204 206 290 336 420 422 444 462 464 534 554 582 626	447417405730
STPT(10)	1368614909063673077	0 2 30 32 102 104 174 176 204 206	663334579930
SPT(16)	1368615494616000913	0 10 46 60 88 94 106 126 178 198 210 216 244 258 294 304	1248886907766