Prime p₀= 1303426687684278023 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 44 30 10 14 18 24 6 22 6 24 18 14 10 30 44 (?)
a_n: 0 44 74 84 98 116 140 146 168 174 198 216 230 240 270 314
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: 314
Found by: HenkM
db: batch=77, k=16, 44 30 10 14 18 24 6 22

SPT(16)	1303425196789298663	0 38 54 68 108 110 188 234 254 300 378 380 420 434 450 488	-1490894979360
SPT(16)	1303425324470136521	0 68 78 86 150 162 240 318 320 398 476 488 552 560 570 638	-1363214141502
TPT(14)	1303425701263748807	0 2 24 26 54 56 120 122 180 182 192 194 294 296	-986420529216
STPT(10)	1303425885346262297	0 2 42 44 72 74 102 104 144 146	-802338015726
TPT(14)	1303426373311221281	0 2 210 212 288 290 306 308 330 332 336 338 348 350	-314373056742
SPT(16)	1303426421794448947	0 84 132 184 190 216 220 256 300 336 340 366 372 424 472 556	-265889829076
SPT(16)	1303426718791080029	0 54 60 104 108 164 188 200 342 354 378 434 438 482 488 542	31106802006
SPT(16)	1303426841435572537	0 22 36 76 84 154 162 166 210 214 222 292 300 340 354 376	153751294514
TPT(14)	1303427090350518041	0 2 60 62 126 128 186 188 198 200 348 350 438 440	402666240018
STPT(10)	1303427175056499671	0 2 6 8 48 50 90 92 96 98	487372221648
STPT(10)	1303427580405290297	0 2 60 62 72 74 84 86 144 146	892721012274