Prime p₀= 1263597496756631587 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 46 60 44 4 20 6 16 74 16 6 20 4 44 60 46 (?)
a_n: 0 46 106 150 154 174 180 196 270 286 292 312 316 360 420 466
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: 466
Found by: stoneageman
db: batch=77, k=16, 46 60 44 4 20 6 16 74

SPT(16)	1263596208021841231	0 16 48 66 136 156 168 180 196 208 220 240 310 328 360 376	-1288734790356
STPT(10)	1263596426090849309	0 2 18 20 30 32 42 44 60 62	-1070665782278
STPT(10)	1263596902139024819	0 2 42 44 60 62 78 80 120 122	-594617606768
SPT(16)	1263597216479691007	0 4 12 24 52 82 90 132 172 214 222 252 280 292 300 304	-280276940580
STPT(10)	1263597277298692199	0 2 42 44 90 92 138 140 180 182	-219457939388
TPT(14)	1263597446400683789	0 2 42 44 168 170 180 182 258 260 330 332 348 350	-50355947798
SPT(16)	1263597556952031641	0 2 18 32 60 62 68 72 158 162 168 170 198 212 228 230	60195400054
SPT(16)	1263598737887829817	0 24 34 52 66 82 84 90 166 172 174 190 204 222 232 256	1241131198230
STPT(10)	1263599602819659401	0 2 6 8 18 20 30 32 36 38	2106063027814
SPT(16)	1263600193947751813	0 6 24 40 66 76 130 150 160 180 234 244 270 286 304 310	2697191120226
STPT(10)	1263600415831052207	0 2 30 32 42 44 54 56 84 86	2919074420620