Prime p₀= 2598633399248747353 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 10 54 56 4 36 20 70 68 70 20 36 4 56 54 10 (?)
a_n: 0 10 64 120 124 160 180 250 318 388 408 444 448 504 558 568
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: 568
Found by: [SG-FC] hl
db: batch=82, k=16, 10 54 56 4 36 20 70 68

STPT(12)	2598632404390164827	0 2 42 44 60 62 84 86 102 104 144 146	-994858582526
SPT(16)	2598632874189535357	0 10 12 42 52 66 82 96 100 114 130 144 154 184 186 196	-525059211996
SPT(16)	2598633124098235117	0 54 60 76 90 106 112 126 130 144 150 166 180 196 202 256	-275150512236
STPT(10)	2598633181440372617	0 2 30 32 72 74 114 116 144 146	-217808374736
STPT(10)	2598633319963704641	0 2 36 38 78 80 120 122 156 158	-79285042712
SPT(16)	2598633340846384241	0 12 26 32 60 156 210 218 270 278 332 428 456 462 476 488	-58402363112
STPT(10)	2598633798664168589	0 2 18 20 30 32 42 44 60 62	399415421236
SPT(16)	2598634322409850997	0 2 32 84 86 90 104 116 240 252 266 270 272 324 354 356	923161103644
STPT(10)	2598634413890872517	0 2 30 32 42 44 54 56 84 86	1014642125164
STPT(10)	2598634683909936311	0 2 6 8 48 50 90 92 96 98	1284661188958
STPT(10)	2598634724254048679	0 2 12 14 90 92 168 170 180 182	1325005301326