Prime p₀= 2350026434082875683 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 16 2 10 8 12 58 14 34 14 58 12 8 10 2 16 (?)
a_n: 0 16 18 28 36 48 106 120 154 168 226 238 246 256 258 274
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: 274
Found by: Landjunge
db: batch=81, k=16, 16 2 10 8 12 58 14 34

SPT(16)	2350025822140061851	0 16 30 52 60 106 130 136 162 168 192 238 246 268 282 298	-611942813832
SPT(16)	2350025872270224427	0 10 66 112 136 142 166 196 210 240 264 270 294 340 396 406	-561812651256
SPT(16)	2350025890407188831	0 18 36 48 60 90 138 146 180 188 236 266 278 290 308 326	-543675686852
STPT(10)	2350026058375072277	0 2 30 32 72 74 114 116 144 146	-375707803406
STPT(10)	2350026185199823211	0 2 6 8 48 50 90 92 96 98	-248883052472
STPT(10)	2350026408812297357	0 2 30 32 102 104 174 176 204 206	-25270578326
STPT(10)	2350026662602576721	0 2 30 32 78 80 126 128 156 158	228519701038
SPT(16)	2350026710162628671	0 18 48 110 116 146 150 168 338 356 360 390 396 458 488 506	276079752988
SPT(16)	2350026842752055923	0 16 36 46 54 60 96 126 184 214 250 256 264 274 294 310	408669180240
STPT(10)	2350027461266388749	0 2 18 20 30 32 42 44 60 62	1027183513066
SPT(16)	2350027553404298627	0 2 6 14 90 126 132 156 170 194 200 236 312 320 324 326	1119321422944