Prime p₀= 1268559369959471741 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 26 22 2 28 54 38 12 34 12 38 54 28 2 22 26 (?)
a_n: 0 26 48 50 78 132 170 182 216 228 266 320 348 350 372 398
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: 398
Found by: Megacruncher
db: batch=77, k=16, 26 22 2 28 54 38 12 34

SPT(16)	1268557929993265271	0 38 68 90 96 98 192 198 230 236 330 332 338 360 390 428	-1439966206470
STPT(10)	1268558123908478237	0 2 42 44 102 104 162 164 204 206	-1246050993504
TPT(14)	1268558535871890749	0 2 78 80 180 182 222 224 330 332 360 362 498 500	-834087580992
STPT(10)	1268558732286524867	0 2 24 26 42 44 60 62 84 86	-637672946874
STPT(10)	1268558828807797727	0 2 54 56 72 74 90 92 144 146	-541151674014
SPT(16)	1268559067581830723	0 14 18 30 98 108 128 156 158 186 206 216 284 296 300 314	-302377641018
SPT(16)	1268559464605840273	0 28 48 88 130 138 150 166 180 196 208 216 258 298 318 346	94646368532
SPT(16)	1268559473382965419	0 12 18 42 90 118 120 148 192 220 222 250 298 322 328 340	103423493678
SPT(16)	1268559555571956953	0 68 74 84 110 128 140 180 218 258 270 288 314 324 330 398	185612485212
SPT(16)	1268559620682460069	0 10 22 64 84 130 138 178 204 244 252 298 318 360 372 382	250722988328
SPT(16)	1268559637792336699	0 10 28 34 40 42 78 82 90 94 130 132 138 144 162 172	267832864958