Prime p₀= 383751867877699 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 10 8 66 16 18 6 20 6 18 16 66 8 10 (?)
a_n: 0 10 18 84 100 118 124 144 150 168 184 250 258 268
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: 268
Found by: crashtech
db: batch=60, k=14, 10 8 66 16 18 6 20

SPT(14)	383718049750999	0 34 40 84 94 112 130 132 150 168 178 222 228 262	-33818126700
SPT(14)	383726798263871	0 6 56 96 108 116 122 126 132 140 152 192 242 248	-25069613828
TPT(12)	383736959120507	0 2 102 104 150 152 192 194 210 212 222 224	-14908757192
SPT(14)	383737528196273	0 6 18 38 44 84 104 150 170 210 216 236 248 254	-14339681426
SPT(14)	383744409371359	0 18 72 84 124 142 144 148 150 168 208 220 274 292	-7458506340
SPT(14)	383747384504051	0 2 8 32 42 50 60 68 78 86 96 120 126 128	-4483373648
SPT(14)	383751924268151	0 18 26 32 66 80 96 152 168 182 216 222 230 248	56390452
TPT(12)	383757170391701	0 2 36 38 78 80 96 98 108 110 168 170	5302514002
SPT(14)	383762305330333	0 90 150 168 178 216 220 234 238 276 286 304 364 454	10437452634
SPT(14)	383763615729509	0 8 78 80 92 108 138 182 212 228 240 242 312 320	11747851810
SPT(14)	383769090032677	0 4 30 34 40 76 100 126 150 186 192 196 222 226	17222154978