Prime p₀= 2621711924147133239 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 14 16 8 6 30 4 36 20 36 4 30 6 8 16 14 (?)
a_n: 0 14 30 38 44 74 78 114 134 170 174 204 210 218 234 248
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: 248
Found by: Groo
db: batch=82, k=16, 14 16 8 6 30 4 36 20

SPT(16)	2621710815178333331	0 48 120 140 150 162 168 188 222 242 248 260 270 290 362 410	-1108968799908
SPT(16)	2621710870103165861	0 12 20 38 98 108 122 140 150 168 182 192 252 270 278 290	-1054043967378
STPT(10)	2621711136178234559	0 2 18 20 30 32 42 44 60 62	-787968898680
SPT(16)	2621711295494518387	0 30 42 94 112 144 196 226 270 300 352 384 402 454 466 496	-628652614852
TPT(14)	2621711371502344937	0 2 30 32 54 56 60 62 90 92 252 254 264 266	-552644788302
STPT(10)	2621711737158350531	0 2 30 32 60 62 90 92 120 122	-186988782708
SPT(16)	2621712028255068767	0 6 20 90 104 120 156 182 204 230 266 282 296 366 380 386	104107935528
STPT(10)	2621712590039942429	0 2 42 44 120 122 198 200 240 242	665892809190
STPT(10)	2621712720943687199	0 2 48 50 90 92 132 134 180 182	796796553960
STPT(10)	2621712808245293597	0 2 30 32 102 104 174 176 204 206	884098160358
SPT(16)	2621712849514001273	0 6 44 120 134 158 174 176 198 200 216 240 254 330 368 374	925366868034