Prime p₀= 1263595317968285903 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 56 10 8 34 140 6 66 4 66 6 140 34 8 10 56 (?)
a_n: 0 56 66 74 108 248 254 320 324 390 396 536 570 578 588 644
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: 644
Found by: rlacr
db: batch=77, k=16, 56 10 8 34 140 6 66 4

STPT(10)	1263594236539306499	0 2 18 20 60 62 102 104 120 122	-1081428979404
SPT(16)	1263594399714334529	0 32 44 90 92 102 114 150 182 218 230 240 242 288 300 332	-918253951374
SPT(16)	1263594755809738103	0 44 50 66 98 114 198 258 296 356 440 456 488 504 510 554	-562158547800
SPT(16)	1263594780242539343	0 18 68 74 96 98 104 110 174 180 186 188 210 216 266 284	-537725746560
SPT(16)	1263594829422781907	0 2 24 30 42 72 90 102 104 116 134 164 176 182 204 206	-488545503996
STPT(12)	1263594938628720359	0 2 30 32 60 62 72 74 102 104 132 134	-379339565544
TPT(14)	1263595609840513931	0 2 18 20 78 80 120 122 216 218 330 332 378 380	291872228028
SPT(16)	1263596208021841231	0 16 48 66 136 156 168 180 196 208 220 240 310 328 360 376	890053555328
STPT(10)	1263596426090849309	0 2 18 20 30 32 42 44 60 62	1108122563406
STPT(10)	1263596902139024819	0 2 42 44 60 62 78 80 120 122	1584170738916
SPT(16)	1263597216479691007	0 4 12 24 52 82 90 132 172 214 222 252 280 292 300 304	1898511405104