Prime p₀= 2379151410374242333 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 16 14 18 10 18 50 4 56 4 50 18 10 18 14 16 (?)
a_n: 0 16 30 48 58 76 126 130 186 190 240 258 268 286 300 316
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: 316
Found by: Landjunge
db: batch=81, k=16, 16 14 18 10 18 50 4 56

SPT(16)	2379150153242556571	0 12 42 70 76 82 96 108 220 232 246 252 258 286 316 328	-1257131685762
SPT(16)	2379151023015043163	0 6 68 74 78 96 120 138 146 164 188 206 210 216 278 284	-387359199170
SPT(16)	2379151089159916399	0 18 42 48 52 58 84 94 108 118 144 150 154 160 184 202	-321214325934
SPT(16)	2379151133285683987	0 6 42 54 76 84 94 112 114 132 142 150 172 184 220 226	-277088558346
SPT(16)	2379151279386425963	0 14 44 60 158 188 216 240 284 308 336 366 464 480 510 524	-130987816370
SPT(16)	2379151383656685601	0 46 52 118 120 130 192 210 238 256 318 328 330 396 402 448	-26717556732
SPT(16)	2379151465219062881	0 6 8 12 18 78 90 138 140 188 200 260 266 270 272 278	54844820548
STPT(10)	2379151726439564777	0 2 30 32 42 44 54 56 84 86	316065322444
SPT(16)	2379152233557861241	0 22 60 76 100 120 142 172 186 216 238 258 282 298 336 358	823183618908
SPT(16)	2379152502290619199	0 18 28 42 48 60 88 102 130 144 172 184 190 204 214 232	1091916376866
STPT(10)	2379152853037865657	0 2 30 32 42 44 54 56 84 86	1442663623324