Prime p₀= 2122498830767712499 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 12 58 8 4 2 30 34 26 34 30 2 4 8 58 12 (?)
a_n: 0 12 70 78 82 84 114 148 174 208 238 240 244 252 310 322
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: 322
Found by: Landjunge
db: batch=80, k=16, 12 58 8 4 2 30 34 26

SPT(16)	2122496323845281849	0 12 48 50 72 78 108 110 150 152 182 188 210 212 248 260	-2506922430650
STPT(10)	2122496436568001201	0 2 36 38 78 80 120 122 156 158	-2394199711298
SPT(16)	2122496740107747761	0 8 30 66 90 92 98 108 140 150 156 158 182 218 240 248	-2090659964738
STPT(10)	2122496902217662679	0 2 42 44 60 62 78 80 120 122	-1928550049820
SPT(16)	2122497934566913637	0 32 56 74 86 96 122 126 170 174 200 210 222 240 264 296	-896200798862
SPT(16)	2122498593565890389	0 2 38 42 50 72 90 134 168 212 230 252 260 264 300 302	-237201822110
STPT(10)	2122498852333320917	0 2 30 32 42 44 54 56 84 86	21565608418
STPT(10)	2122499343946178339	0 2 18 20 30 32 42 44 60 62	513178465840
STPT(10)	2122499385375825497	0 2 30 32 42 44 54 56 84 86	554608112998
SPT(16)	2122499969009976217	0 30 82 100 132 216 256 340 366 450 490 574 606 624 676 706	1138242263718
SPT(16)	2122499993475047101	0 28 42 58 90 130 142 156 172 186 198 238 270 286 300 328	1162707334602