Prime p₀= 2576726797280276273 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 8 28 30 12 6 26 54 16 54 26 6 12 30 28 8 (?)
a_n: 0 8 36 66 78 84 110 164 180 234 260 266 278 308 336 344
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: 344
Found by: JayPi
db: batch=82, k=16, 8 28 30 12 6 26 54 16

SPT(16)	2576724955747218817	0 6 72 76 100 156 160 172 270 282 286 342 366 370 436 442	-1841533057456
TPT(14)	2576725025270538827	0 2 24 26 42 44 144 146 150 152 240 242 312 314	-1772009737446
SPT(16)	2576725174350850343	0 20 56 144 146 156 164 174 200 210 218 228 230 318 354 374	-1622929425930
STPT(10)	2576725354504432247	0 2 30 32 42 44 54 56 84 86	-1442775844026
TPT(14)	2576725854067184429	0 2 150 152 192 194 330 332 360 362 408 410 420 422	-943213091844
SPT(16)	2576726526617090923	0 4 6 34 36 106 124 160 180 216 234 304 306 334 336 340	-270663185350
SPT(16)	2576726981409758029	0 4 10 12 54 88 94 114 208 228 234 268 310 312 318 322	184129481756
STPT(10)	2576727045582450767	0 2 30 32 42 44 54 56 84 86	248302174494
SPT(16)	2576727081076659283	0 48 58 66 76 78 114 120 154 160 196 198 208 216 226 274	283796383010
STPT(10)	2576727712107075851	0 2 30 32 78 80 126 128 156 158	914826799578
SPT(16)	2576727804922268659	0 22 28 148 202 282 288 330 370 412 418 498 552 672 678 700	1007641992386