Prime p₀= 1268562542688574823 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 26 28 50 24 52 24 12 2 12 24 52 24 50 28 26 (?)
a_n: 0 26 54 104 128 180 204 216 218 230 254 306 330 380 408 434
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: 434
Found by: Megacruncher
db: batch=77, k=16, 26 28 50 24 52 24 12 2

SPT(16)	1268560162557754793	0 20 38 84 90 158 180 206 258 284 306 374 380 426 444 464	-2380130820030
SPT(16)	1268560630303039309	0 4 22 54 70 82 84 118 264 298 300 312 328 360 378 382	-1912385535514
STPT(10)	1268560852971250721	0 2 36 38 78 80 120 122 156 158	-1689717324102
SPT(16)	1268561142788504911	0 10 12 48 106 126 132 150 178 196 202 222 280 316 318 328	-1399900069912
STPT(12)	1268561767131720989	0 2 12 14 30 32 72 74 90 92 102 104	-775556853834
STPT(10)	1268562484143211247	0 2 12 14 42 44 72 74 84 86	-58545363576
SPT(16)	1268562910192947847	0 30 66 90 102 136 150 162 184 196 210 244 256 280 316 346	367504373024
STPT(10)	1268562978567064001	0 2 6 8 48 50 90 92 96 98	435878489178
STPT(10)	1268563087322100539	0 2 12 14 30 32 48 50 60 62	544633525716
SPT(16)	1268563368305856281	0 8 60 86 98 102 116 128 150 162 176 180 192 218 270 278	825617281458
SPT(16)	1268563509035704891	0 10 42 48 58 60 118 120 268 270 328 330 340 346 378 388	966347130068