Prime p₀= 1235383416384955559 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 8 22 8 34 6 44 70 26 70 44 6 34 8 22 8 (?)
a_n: 0 8 30 38 72 78 122 192 218 288 332 338 372 380 402 410
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: 410
Found by: Cruncher Pete
db: batch=77, k=16, 8 22 8 34 6 44 70 26

SPT(16)	1235382367362262897	0 22 96 112 136 144 154 250 276 372 382 390 414 430 504 526	-1049022692662
STPT(10)	1235382423763097549	0 2 30 32 60 62 90 92 120 122	-992621858010
TPT(14)	1235382469287794417	0 2 30 32 72 74 144 146 174 176 204 206 210 212	-947097161142
TPT(14)	1235382733961912747	0 2 12 14 30 32 54 56 72 74 120 122 222 224	-682423042812
SPT(16)	1235382933577007807	0 50 114 182 210 224 246 252 254 260 282 296 324 392 456 506	-482807947752
SPT(16)	1235383182661587437	0 24 62 102 114 126 140 156 200 216 230 242 254 294 332 356	-233723368122
STPT(10)	1235383776884066387	0 2 30 32 42 44 54 56 84 86	360499110828
STPT(10)	1235384668783619909	0 2 42 44 60 62 78 80 120 122	1252398664350
SPT(16)	1235384807101151813	0 44 66 110 116 168 186 194 210 218 236 288 294 338 360 404	1390716196254
SPT(16)	1235385287173167631	0 22 30 40 72 190 222 238 252 268 300 418 450 460 468 490	1870788212072
SPT(16)	1235385589741169927	0 14 32 74 140 144 210 272 282 344 410 414 480 522 540 554	2173356214368