Prime p₀= 2865125283535247981 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 6 44 18 10 8 24 70 26 70 24 8 10 18 44 6 (?)
a_n: 0 6 50 68 78 86 110 180 206 276 300 308 318 336 380 386
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: 386
Found by: [SG]ATA-Rolf
db: batch=82, k=16, 6 44 18 10 8 24 70 26

SPT(16)	2865122512258878103	0 60 70 78 84 96 154 196 198 240 298 310 316 324 334 394	-2771276369878
SPT(16)	2865122861991003011	0 32 38 56 98 128 156 170 228 242 270 300 342 360 366 398	-2421544244970
STPT(12)	2865123024385200569	0 2 18 20 42 44 48 50 72 74 90 92	-2259150047412
SPT(16)	2865123379042929227	0 2 12 14 26 86 110 116 210 216 240 300 312 314 324 326	-1904492318754
STPT(10)	2865123609288467027	0 2 12 14 72 74 132 134 144 146	-1674246780954
SPT(16)	2865123616719991951	0 16 18 36 70 100 112 130 168 186 198 228 262 280 282 298	-1666815256030
SPT(16)	2865125286847538851	0 10 12 22 78 96 156 178 210 232 292 310 366 376 378 388	3312290870
STPT(10)	2865125396680580741	0 2 36 38 78 80 120 122 156 158	113145332760
TPT(14)	2865125796395631017	0 2 30 32 72 74 144 146 252 254 480 482 504 506	512860383036
TPT(14)	2865126346761364709	0 2 48 50 90 92 102 104 132 134 420 422 438 440	1063226116728
SPT(16)	2865126644776692287	0 6 24 50 66 80 84 96 104 116 120 134 150 176 194 200	1361241444306