Prime p₀= 452068823610452383 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 30 18 10 26 4 8 22 8 4 26 10 18 30 (?)
a_n: 0 30 48 58 84 88 96 118 126 130 156 166 184 214
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: 214
Found by: desktop64
db: batch=70, k=14, 30 18 10 26 4 8 22

SPT(14)	452068727667689969	0 44 92 152 174 210 212 270 272 308 330 390 438 482	-95942762414
TPT(12)	452068745635001939	0 2 42 44 78 80 90 92 162 164 168 170	-77975450444
SPT(14)	452068753348089253	0 34 48 70 88 90 94 204 208 210 228 250 264 298	-70262363130
SPT(14)	452068758059503391	0 32 36 80 98 140 170 198 228 270 288 332 336 368	-65550948992
SPT(14)	452068787551333097	0 60 62 74 92 96 134 192 230 234 252 264 266 326	-36059119286
SPT(14)	452068791018866041	0 10 12 60 66 108 126 142 160 202 208 256 258 268	-32591586342
SPT(14)	452068831486378147	0 12 42 66 82 100 142 150 192 210 226 250 280 292	7875925764
SPT(14)	452068842161617903	0 40 66 78 96 106 120 136 150 160 178 190 216 256	18551165520
SPT(14)	452068847637215177	0 14 24 62 74 132 134 150 152 210 222 260 270 284	24026762794
SPT(14)	452068869125323181	0 20 32 42 50 78 92 96 110 138 146 156 168 188	45514870798
SPT(14)	452068882047375871	0 10 12 36 40 102 106 126 130 192 196 220 222 232	58436923488