Prime p₀= 2569850497385315041 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 66 36 4 6 14 4 2 124 2 4 14 6 4 36 66 (?)
a_n: 0 66 102 106 112 126 130 132 256 258 262 276 282 286 322 388
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: 388
Found by: JayPi
db: batch=82, k=16, 66 36 4 6 14 4 2 124

SPT(16)	2569848634808089207	0 24 40 154 214 262 280 360 424 504 522 570 630 744 760 784	-1862577225834
STPT(10)	2569848689436675371	0 2 6 8 48 50 90 92 96 98	-1807948639670
SPT(16)	2569849210038896087	0 54 56 66 74 80 96 156 164 224 240 246 254 264 266 320	-1287346418954
TPT(14)	2569850204735762789	0 2 42 44 150 152 168 170 192 194 222 224 282 284	-292649552252
SPT(16)	2569850251402738921	0 28 100 108 138 156 192 250 408 466 502 520 550 558 630 658	-245982576120
STPT(10)	2569850339186564039	0 2 12 14 90 92 168 170 180 182	-158198751002
STPT(10)	2569850556352521941	0 2 36 38 78 80 120 122 156 158	58967206900
STPT(10)	2569850727787285751	0 2 6 8 48 50 90 92 96 98	230401970710
SPT(16)	2569850774518056539	0 12 20 42 54 74 102 132 152 182 210 230 242 264 272 284	277132741498
STPT(10)	2569850907230582159	0 2 18 20 30 32 42 44 60 62	409845267118
SPT(13)	2569850909023556251	0 18 30 60 66 90 108 126 150 156 186 198 216	411638241210