Prime p₀= 2342467719998696683 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 28 2 36 40 44 4 84 38 84 4 44 40 36 2 28 (?)
a_n: 0 28 30 66 106 150 154 238 276 360 364 408 448 484 486 514
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: 514
Found by: Landjunge
db: batch=81, k=16, 28 2 36 40 44 4 84 38

STPT(10)	2342465670970888829	0 2 42 44 60 62 78 80 120 122	-2049027807854
SPT(16)	2342466415368016081	0 16 28 36 58 72 106 112 216 222 256 270 292 300 312 328	-1304630680602
SPT(16)	2342466533710473239	0 68 80 110 132 168 198 210 212 224 254 290 312 342 354 422	-1186288223444
SPT(16)	2342466846736044881	0 6 12 26 30 42 48 72 86 110 116 128 132 146 152 158	-873262651802
STPT(10)	2342467531070458061	0 2 6 8 48 50 90 92 96 98	-188928238622
STPT(10)	2342467558135894829	0 2 12 14 90 92 168 170 180 182	-161862801854
SPT(16)	2342467825725480853	0 4 60 108 126 130 138 144 190 196 204 208 226 274 330 334	105726784170
STPT(10)	2342467828341577631	0 2 30 32 60 62 90 92 120 122	108342880948
SPT(16)	2342468099496653153	0 6 54 56 60 120 126 156 158 188 194 254 258 260 308 314	379497956470
TPT(14)	2342468160113761697	0 2 12 14 42 44 54 56 90 92 180 182 222 224	440115065014
SPT(16)	2342468574128818609	0 22 24 34 64 144 148 160 162 174 178 258 288 298 300 322	854130121926