Prime p₀= 2249327170779536713 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 40 6 60 20 12 58 14 4 14 58 12 20 60 6 40 (?)
a_n: 0 40 46 106 126 138 196 210 214 228 286 298 318 378 384 424
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: 424
Found by: [SG-2W]Kurzer
db: batch=81, k=16, 40 6 60 20 12 58 14 4

SPT(16)	2249326401067594039	0 10 34 42 90 144 148 154 168 174 178 232 280 288 312 322	-769711942674
STPT(10)	2249326439449247687	0 2 42 44 72 74 102 104 144 146	-731330289026
TPT(14)	2249326572647068931	0 2 78 80 90 92 156 158 186 188 240 242 288 290	-598132467782
STPT(10)	2249326666952205677	0 2 42 44 72 74 102 104 144 146	-503827331036
SPT(16)	2249326871734560733	0 16 48 70 118 126 154 178 216 240 268 276 324 346 378 394	-299044975980
TPT(16)	2249327009445457301	0 2 96 98 126 128 150 152 216 218 258 260 306 308 330 332	-161334079412
SPT(16)	2249328460499109211	0 6 40 48 70 76 96 150 238 292 312 318 340 348 382 388	1289719572498
SPT(16)	2249328644887884827	0 44 134 152 170 182 192 194 222 224 234 246 264 282 372 416	1474108348114
STPT(10)	2249328697782675329	0 2 18 20 30 32 42 44 60 62	1527003138616
SPT(16)	2249329142711461883	0 66 86 116 140 144 218 224 270 276 350 354 378 408 428 494	1971931925170
SPT(16)	2249329407477722431	0 12 36 42 52 66 72 120 142 190 196 210 220 226 250 262	2236698185718