Prime p₀= 2956373823203480023 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 4 6 26 90 28 32 18 16 18 32 28 90 26 6 4 (?)
a_n: 0 4 10 36 126 154 186 204 220 238 270 298 388 414 420 424
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: 424
Found by: Landjunge
db: batch=82, k=16, 4 6 26 90 28 32 18 16

SPT(16)	2956373393762134891	0 30 58 72 76 90 100 142 186 228 238 252 256 270 298 328	-429441345132
TPT(14)	2956373512555907681	0 2 66 68 180 182 360 362 396 398 420 422 438 440	-310647572342
SPT(16)	2956373563703034749	0 14 50 134 150 158 164 180 182 198 204 212 228 312 348 362	-259500445274
SPT(16)	2956373568665846969	0 8 14 92 104 164 168 198 224 254 258 318 330 408 414 422	-254537633054
SPT(16)	2956373604364379357	0 2 6 12 26 32 42 56 90 104 114 120 134 140 144 146	-218839100666
STPT(10)	2956373671202018057	0 2 12 14 42 44 72 74 84 86	-152001461966
STPT(10)	2956374150318761057	0 2 30 32 42 44 54 56 84 86	327115281034
SPT(16)	2956374321155482949	0 30 42 44 50 72 78 98 144 164 170 192 198 200 212 242	497952002926
STPT(10)	2956374432941080829	0 2 18 20 30 32 42 44 60 62	609737600806
SPT(16)	2956374755379328487	0 50 72 74 92 96 102 120 176 194 200 204 222 224 246 296	932175848464
SPT(16)	2956375263947209003	0 16 18 28 48 64 100 120 154 174 210 226 246 256 258 274	1440743728980