Prime p₀= 2514147077115604639 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 22 68 52 32 4 56 18 58 18 56 4 32 52 68 22 (?)
a_n: 0 22 90 142 174 178 234 252 310 328 384 388 420 472 540 562
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: 562
Found by: JayPi
db: batch=82, k=16, 22 68 52 32 4 56 18 58

SPT(16)	2514144946532198663	0 26 56 74 90 180 186 204 206 224 230 320 336 354 384 410	-2130583405976
SPT(16)	2514145947463341167	0 20 42 54 60 74 120 140 306 326 372 386 392 404 426 446	-1129652263472
SPT(16)	2514146361223988173	0 16 36 64 138 156 168 216 238 286 298 316 390 418 438 454	-715891616466
SPT(16)	2514146542228509389	0 18 32 90 104 144 152 164 288 300 308 348 362 420 434 452	-534887095250
SPT(16)	2514146749615396523	0 18 20 50 68 78 90 108 176 194 206 216 234 264 266 284	-327500208116
SPT(16)	2514146809992059651	0 30 66 92 132 192 206 210 212 216 230 290 330 356 392 422	-267123544988
SPT(16)	2514147195589524613	0 4 10 18 28 34 70 76 108 114 150 156 166 174 180 184	118473919974
SPT(16)	2514148071766663363	0 6 10 48 54 108 126 136 198 208 226 280 286 324 328 334	994651058724
SPT(18)	2514148448913721783	0 18 30 94 108 126 160 168 184 270 286 294 328 346 360 424 436 454	1371798117144
STPT(10)	2514148740593044169	0 2 18 20 30 32 42 44 60 62	1663477439530
SPT(16)	2514149292479906563	0 10 30 54 84 94 114 124 144 154 174 184 214 238 258 268	2215364301924