Prime p₀= 3717756680372668301 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 56 4 2 34 66 26 34 44 34 26 66 34 2 4 56 (?)
a_n: 0 56 60 62 96 162 188 222 266 300 326 392 426 428 432 488
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: 488
Found by: [AF] Kalianthys
db: batch=84, k=16, 56 4 2 34 66 26 34 44

SPT(16)	3717755125198238017	0 12 36 46 64 70 82 90 166 174 186 192 210 220 244 256	-1555174430284
TPT(14)	3717755675870640791	0 2 6 8 48 50 60 62 78 80 90 92 156 158	-1004502027510
SPT(16)	3717755972701058257	0 30 72 102 106 112 144 154 162 172 204 210 214 244 286 316	-707671610044
STPT(10)	3717755997855331181	0 2 96 98 138 140 180 182 276 278	-682517337120
STPT(10)	3717756078174107909	0 2 18 20 30 32 42 44 60 62	-602198560392
SPT(16)	3717756564926785223	0 30 44 98 108 146 156 174 230 248 258 296 306 360 374 404	-115445883078
SPT(16)	3717756829876623343	0 6 36 46 60 76 90 94 270 274 288 304 318 328 358 364	149503955042
TPT(14)	3717758499319046981	0 2 36 38 78 80 108 110 138 140 210 212 276 278	1818946378680
SPT(16)	3717758614062327749	0 14 18 50 54 104 140 158 204 222 258 308 312 344 348 362	1933689659448
SPT(16)	3717758687874578741	0 6 36 38 50 66 86 98 150 162 182 198 210 212 242 248	2007501910440
SPT(16)	3717758820032926601	0 32 36 62 98 108 116 122 126 132 140 150 186 212 216 248	2139660258300