Prime p₀= 378622676244095191 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 10 6 14 12 84 16 8 16 84 12 14 6 10 (?)
a_n: 0 10 16 30 42 126 142 150 166 250 262 276 282 292
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: 292
Found by: Cruncher Pete
db: batch=70, k=14, 10 6 14 12 84 16 8

SPT(14)	378622523133399043	0 10 64 78 136 160 168 226 234 258 316 330 384 394	-153110696148
SPT(14)	378622551291800513	0 8 14 20 24 36 38 66 68 80 84 90 96 104	-124952294678
SPT(14)	378622554091685173	0 6 36 64 78 90 106 138 154 166 180 208 238 244	-122152410018
SPT(14)	378622658785374959	0 2 8 30 42 90 102 158 170 218 230 252 258 260	-17458720232
SPT(14)	378622665215605033	0 28 54 90 100 136 138 196 198 234 244 280 306 334	-11028490158
TPT(12)	378622672263483671	0 2 60 62 90 92 240 242 246 248 270 272	-3980611520
SPT(14)	378622682457861329	0 20 42 48 60 78 80 120 122 140 152 158 180 200	6213766138
SPT(14)	378622693254313961	0 18 26 60 78 140 150 176 186 248 266 300 308 326	17010218770
SPT(14)	378622710395435057	0 44 74 180 186 200 270 290 360 374 380 486 516 560	34151339866
SPT(14)	378622721034974107	0 6 30 42 46 70 94 132 156 180 184 196 220 226	44790878916
SPT(14)	378622736662009241	0 12 26 36 48 50 80 108 138 140 152 162 176 188	60417914050