Prime p₀= 70781886719460247 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 22 14 28 36 14 22 74 22 14 36 28 14 22 (?)
a_n: 0 22 36 64 100 114 136 210 232 246 282 310 324 346
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 346
Found by: emoga
db: batch=67, k=14, 22 14 28 36 14 22 74

SPT(14)	70781835210975061	0 6 18 40 52 78 90 208 220 246 258 280 292 298	-51508485186
TPT(12)	70781837464547267	0 2 60 62 84 86 90 92 312 314 354 356	-49254912980
SPT(14)	70781842789325233	0 46 100 108 178 196 198 256 258 276 346 354 408 454	-43930135014
SPT(14)	70781843711378633	0 14 30 80 84 96 116 204 224 236 240 290 306 320	-43008081614
SPT(14)	70781879769303403	0 10 78 150 166 220 246 280 306 360 376 448 516 526	-6950156844
TPT(12)	70781880643536779	0 2 12 14 162 164 168 170 192 194 288 290	-6075923468
SPT(14)	70781899235066713	0 28 58 108 114 126 136 228 238 250 256 306 336 364	12515606466
SPT(14)	70781900825733973	0 16 28 30 40 78 88 96 106 144 154 156 168 184	14106273726
SPT(14)	70781914464286423	0 4 6 34 46 60 76 138 154 168 180 208 210 214	27744826176
SPT(14)	70781964463861069	0 40 90 100 108 124 130 138 144 160 168 178 228 268	77744400822
SPT(14)	70781968587945011	0 18 38 60 80 126 158 258 290 336 356 378 398 416	81868484764