Prime p₀= 2314801412526857663 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 6 50 40 18 14 12 24 16 24 12 14 18 40 50 6 (?)
a_n: 0 6 56 96 114 128 140 164 180 204 216 230 248 288 338 344
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: Orange Kid
db: batch=81, k=16, 6 50 40 18 14 12 24 16

SPT(18)	2314799665511479403	0 6 26 38 56 66 104 110 140 144 174 180 218 228 246 258 278 284	-1747015378260
SPT(16)	2314800103143124133	0 20 38 56 60 66 110 116 168 174 218 224 228 246 264 284	-1309383733530
SPT(16)	2314800239928988589	0 8 30 44 50 74 120 140 228 248 294 318 324 338 360 368	-1172597869074
SPT(16)	2314800683513728979	0 24 38 44 60 92 114 140 192 218 240 272 288 294 308 332	-729013128684
SPT(16)	2314800752464251437	0 12 60 72 144 170 182 200 204 222 234 260 332 344 392 404	-660062606226
TPT(14)	2314801211192361959	0 2 60 62 198 200 222 224 270 272 300 302 312 314	-201334495704
STPT(10)	2314801459481928551	0 2 36 38 78 80 120 122 156 158	46955070888
STPT(10)	2314801646364746807	0 2 90 92 102 104 114 116 204 206	233837889144
TPT(14)	2314801868517746939	0 2 42 44 48 50 90 92 198 200 240 242 270 272	455990889276
STPT(12)	2314802045745104717	0 2 84 86 102 104 222 224 240 242 324 326	633218247054
SPT(16)	2314802276546431883	0 14 50 60 66 74 78 96 98 116 120 128 134 144 180 194	864019574220