Prime p₀= 2352692580646679893 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 6 28 6 30 18 20 30 28 30 20 18 30 6 28 6 (?)
a_n: 0 6 34 40 70 88 108 138 166 196 216 234 264 270 298 304
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: 304
Found by: JayPi
db: batch=81, k=16, 6 28 6 30 18 20 30 28

SPT(16)	2352691049191876621	0 16 48 82 106 120 130 148 180 198 208 222 246 280 312 328	-1531454803272
STPT(10)	2352691330011259421	0 2 30 32 60 62 90 92 120 122	-1250635420472
SPT(16)	2352691695075144847	0 4 22 30 142 172 210 240 244 274 312 342 454 462 480 484	-885571535046
STPT(10)	2352691723408795787	0 2 12 14 72 74 132 134 144 146	-857237884106
SPT(16)	2352691723512092213	0 6 104 140 146 150 164 180 194 210 224 228 234 270 368 374	-857134587680
SPT(16)	2352692548084952167	0 6 12 22 30 66 100 136 180 216 250 286 294 304 310 316	-32561727726
SPT(16)	2352693298315785119	0 8 38 60 102 120 128 132 158 162 170 188 230 252 282 290	717669105226
SPT(16)	2352693352189758289	0 4 18 40 52 108 118 130 132 144 154 210 222 244 258 262	771543078396
TPT(14)	2352694140012922367	0 2 30 32 60 62 114 116 132 134 180 182 252 254	1559366242474
STPT(10)	2352694359393761837	0 2 24 26 42 44 60 62 84 86	1778747081944
SPT(16)	2352694432438283903	0 26 56 60 126 134 180 186 338 344 390 398 464 468 498 524	1851791604010