Prime p₀= 1268560061357525609 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 8 22 24 56 24 36 40 2 40 36 24 56 24 22 8 (?)
a_n: 0 8 30 54 110 134 170 210 212 252 288 312 368 392 414 422
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: 422
Found by: Megacruncher
db: batch=77, k=16, 8 22 24 56 24 36 40 2

SPT(16)	1268559464605840273	0 28 48 88 130 138 150 166 180 196 208 216 258 298 318 346	-596751685336
SPT(16)	1268559473382965419	0 12 18 42 90 118 120 148 192 220 222 250 298 322 328 340	-587974560190
SPT(16)	1268559555571956953	0 68 74 84 110 128 140 180 218 258 270 288 314 324 330 398	-505785568656
SPT(16)	1268559620682460069	0 10 22 64 84 130 138 178 204 244 252 298 318 360 372 382	-440675065540
SPT(16)	1268559637792336699	0 10 28 34 40 42 78 82 90 94 130 132 138 144 162 172	-423565188910
STPT(10)	1268559894339804257	0 2 42 44 72 74 102 104 144 146	-167017721352
SPT(16)	1268560162557754793	0 20 38 84 90 158 180 206 258 284 306 374 380 426 444 464	101200229184
SPT(16)	1268560630303039309	0 4 22 54 70 82 84 118 264 298 300 312 328 360 378 382	568945513700
STPT(10)	1268560852971250721	0 2 36 38 78 80 120 122 156 158	791613725112
SPT(16)	1268561142788504911	0 10 12 48 106 126 132 150 178 196 202 222 280 316 318 328	1081430979302
STPT(12)	1268561767131720989	0 2 12 14 30 32 72 74 90 92 102 104	1705774195380