Prime p₀= 2564808122492057573 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 36 14 4 26 16 30 32 28 32 30 16 26 4 14 36 (?)
a_n: 0 36 50 54 80 96 126 158 186 218 248 264 290 294 308 344
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, 36 14 4 26 16 30 32 28

SPT(16)	2564806882348305797	0 2 14 80 104 122 146 174 182 210 234 252 276 342 354 356	-1240143751776
SPT(16)	2564807126953867897	0 36 70 106 112 142 192 210 226 244 294 324 330 366 400 436	-995538189676
SPT(16)	2564807226919202861	0 18 26 66 78 98 110 138 140 168 180 200 212 252 260 278	-895572854712
SPT(16)	2564807316667432721	0 36 42 56 66 92 120 140 192 212 240 266 276 290 296 332	-805824624852
SPT(16)	2564807740413304109	0 48 98 138 140 152 162 188 204 230 240 252 254 294 344 392	-382078753464
SPT(16)	2564808016314944251	0 12 60 66 76 78 130 148 150 168 220 222 232 238 286 298	-106177113322
SPT(16)	2564808123655433083	0 18 24 54 64 88 94 148 186 240 246 270 280 310 316 334	1163375510
SPT(16)	2564808172705221881	0 26 48 50 126 128 140 168 188 216 228 230 306 308 330 356	50213164308
SPT(16)	2564808947709626327	0 14 114 210 212 234 246 264 332 350 362 384 386 482 582 596	825217568754
SPT(16)	2564809056423648967	0 22 60 64 72 76 106 150 196 240 270 274 282 286 324 346	933931591394
STPT(10)	2564809098114599429	0 2 30 32 60 62 90 92 120 122	975622541856