Prime p₀= 1028616714904589971 starts a Symmetric tuple of 13 consecutive primes (SPT).
d_n: 0 18 12 66 42 12 18 18 12 42 66 12 18 (?)
a_n: 0 18 30 96 138 150 168 186 198 240 306 318 336
All 13 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 336
Found by: HenkM
db: batch=76, k=13, 18 12 66 42 12 18

SPT(16)	1028615536781034221	0 6 18 38 42 60 90 108 140 158 188 206 210 230 242 248	-1178123555750
SPT(16)	1028615968843098221	0 26 36 66 68 78 98 152 216 270 290 300 302 332 342 368	-746061491750
STPT(10)	1028616038499270041	0 2 6 8 18 20 30 32 36 38	-676405319930
SPT(16)	1028616373455693553	0 6 58 66 70 90 160 166 168 174 244 264 268 276 328 334	-341448896418
TPT(14)	1028616512364009197	0 2 72 74 144 146 192 194 222 224 264 266 270 272	-202540580774
SPT(16)	1028616587398654519	0 18 24 28 52 144 168 198 334 364 388 480 504 508 514 532	-127505935452
STPT(10)	1028616909733696397	0 2 72 74 102 104 132 134 204 206	194829106426
SPT(16)	1028617152772035289	0 22 42 64 78 82 102 108 124 130 150 154 168 190 210 232	437867445318
SPT(16)	1028617152885700933	0 70 76 126 136 196 234 240 274 280 318 378 388 438 444 514	437981110962
SPT(16)	1028617802816399099	0 2 12 104 110 132 140 162 182 204 212 234 240 332 342 344	1087911809128
STPT(10)	1028618115639995729	0 2 30 32 60 62 90 92 120 122	1400735405758