Prime p₀= 19217651507798449 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 18 22 14 34 26 24 22 24 26 34 14 22 18 (?)
a_n: 0 18 40 54 88 114 138 160 184 210 244 258 280 298
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: 298
Found by: gaballus
db: batch=62, k=14, 18 22 14 34 26 24 22

SPT(14)	19217582355697501	0 58 72 88 100 102 142 156 196 198 210 226 240 298	-69152100948
SPT(14)	19217590247848229	0 12 18 42 48 68 72 128 132 152 158 182 188 200	-61259950220
SPT(14)	19217595324588691	0 6 10 28 52 76 108 160 192 216 240 258 262 268	-56183209758
TPT(12)	19217603392693679	0 2 30 32 42 44 108 110 150 152 162 164	-48115104770
SPT(14)	19217627678345951	0 50 56 60 96 98 108 128 138 140 176 180 186 236	-23829452498
SPT(14)	19217629569171997	0 22 40 90 96 112 126 130 144 160 166 216 234 256	-21938626452
TPT(12)	19217651959715969	0 2 42 44 60 62 90 92 210 212 258 260	451917520
TPT(12)	19217652250672229	0 2 30 32 72 74 90 92 102 104 222 224	742873780
SPT(16)	19217655611842291	0 10 18 52 102 112 130 172 198 240 258 268 318 352 360 370	4104043842
TPT(12)	19217656664717261	0 2 36 38 48 50 60 62 186 188 240 242	5156918812
TPT(12)	19217663733031847	0 2 12 14 24 26 30 32 54 56 114 116	12225233398