Prime p₀= 456494918412984211 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 10 68 34 20 6 10 2 10 6 20 34 68 10 (?)
a_n: 0 10 78 112 132 138 148 150 160 166 186 220 288 298
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: Cruncher Pete
db: batch=70, k=14, 10 68 34 20 6 10 2

SPT(14)	456494823215704201	0 36 60 90 106 108 118 180 190 192 208 238 262 298	-95197280010
SPT(14)	456494831700604601	0 2 6 36 78 80 90 158 168 170 212 242 246 248	-86712379610
SPT(14)	456494866225731811	0 10 30 36 52 78 100 168 190 216 232 238 258 268	-52187252400
TPT(12)	456494868710934167	0 2 30 32 204 206 240 242 252 254 270 272	-49702050044
STPT(10)	456494872673021261	0 2 30 32 78 80 126 128 156 158	-45739962950
SPT(14)	456494914972225279	0 22 28 34 54 90 100 132 142 178 198 204 210 232	-3440758932
SPT(14)	456494921404062311	0 18 56 72 78 86 108 170 192 200 206 222 260 278	2991078100
SPT(14)	456494928351346991	0 66 68 80 86 116 126 152 162 192 198 210 212 278	9938362780
SPT(14)	456494933485060399	0 12 40 54 88 90 124 138 172 174 208 222 250 262	15072076188
TPT(12)	456494936927957489	0 2 18 20 42 44 78 80 132 134 168 170	18514973278
SPT(14)	456494940908969063	0 8 36 78 98 128 150 194 216 246 266 308 336 344	22495984852