Prime p₀= 28467686747694461 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 2 34 20 12 4 50 4 50 4 12 20 34 2 (?)
a_n: 0 2 36 56 68 72 122 126 176 180 192 212 246 248
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: 248
Found by: amazing
db: batch=65, k=14, 2 34 20 12 4 50 4

SPT(16)	28467640611095963	0 14 68 98 104 120 128 146 168 186 194 210 216 246 300 314	-46136598498
SPT(14)	28467641084554951	0 10 16 28 30 42 52 66 76 88 90 102 108 118	-45663139510
SPT(14)	28467644511761599	0 4 22 60 70 72 82 102 112 114 124 162 180 184	-42235932862
TPT(12)	28467644788690031	0 2 138 140 150 152 210 212 288 290 306 308	-41959004430
SPT(16)	28467661790262907	0 4 16 46 70 90 144 174 196 226 280 300 324 354 366 370	-24957431554
SPT(14)	28467668152957343	0 78 120 144 164 200 360 368 528 564 584 608 650 728	-18594737118
SPT(14)	28467705612986203	0 6 16 36 54 84 120 160 196 226 244 264 274 280	18865291742
TPT(12)	28467705762965837	0 2 12 14 54 56 60 62 90 92 174 176	19015271376
SPT(14)	28467726861248009	0 12 18 20 38 60 104 108 152 174 192 194 200 212	40113553548
SPT(14)	28467728120243681	0 8 48 86 90 92 98 120 126 128 132 170 210 218	41372549220
TPT(12)	28467738149593217	0 2 54 56 60 62 210 212 294 296 312 314	51401898756