Prime p₀= 1268559620682460069 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 10 12 42 20 46 8 40 26 40 8 46 20 42 12 10 (?)
a_n: 0 10 22 64 84 130 138 178 204 244 252 298 318 360 372 382
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: 382
Found by: Megacruncher
db: batch=77, k=16, 10 12 42 20 46 8 40 26

STPT(10)	1268558828807797727	0 2 54 56 72 74 90 92 144 146	-791874662342
SPT(16)	1268559067581830723	0 14 18 30 98 108 128 156 158 186 206 216 284 296 300 314	-553100629346
SPT(16)	1268559369959471741	0 26 48 50 78 132 170 182 216 228 266 320 348 350 372 398	-250722988328
SPT(16)	1268559464605840273	0 28 48 88 130 138 150 166 180 196 208 216 258 298 318 346	-156076619796
SPT(16)	1268559473382965419	0 12 18 42 90 118 120 148 192 220 222 250 298 322 328 340	-147299494650
SPT(16)	1268559555571956953	0 68 74 84 110 128 140 180 218 258 270 288 314 324 330 398	-65110503116
SPT(16)	1268559637792336699	0 10 28 34 40 42 78 82 90 94 130 132 138 144 162 172	17109876630
STPT(10)	1268559894339804257	0 2 42 44 72 74 102 104 144 146	273657344188
SPT(16)	1268560061357525609	0 8 30 54 110 134 170 210 212 252 288 312 368 392 414 422	440675065540
SPT(16)	1268560162557754793	0 20 38 84 90 158 180 206 258 284 306 374 380 426 444 464	541875294724
SPT(16)	1268560630303039309	0 4 22 54 70 82 84 118 264 298 300 312 328 360 378 382	1009620579240