Prime p₀= 24317463286729573 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 4 6 14 24 16 6 38 6 16 24 14 6 4 (?)
a_n: 0 4 10 24 48 64 70 108 114 130 154 168 174 178
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: 178
Found by: arkiss
db: batch=65, k=14, 4 6 14 24 16 6 38

SPT(14)	24317373944949331	0 36 60 78 82 108 148 210 250 276 280 298 322 358	-89341780242
SPT(14)	24317378102713807	0 4 30 42 46 66 96 130 160 180 184 196 222 226	-85184015766
SPT(14)	24317379719622331	0 6 46 58 88 90 108 118 136 138 168 180 220 226	-83567107242
SPT(14)	24317391943575499	0 4 10 18 54 58 70 72 84 88 124 132 138 142	-71343154074
TPT(12)	24317446882568681	0 2 18 20 48 50 78 80 90 92 156 158	-16404160892
TPT(12)	24317456156381147	0 2 12 14 90 92 102 104 114 116 144 146	-7130348426
SPT(14)	24317464296043993	0 16 34 76 84 88 100 114 126 130 138 180 198 214	1009314420
SPT(14)	24317464765573411	0 6 18 28 48 70 90 148 168 190 210 220 232 238	1478843838
SPT(14)	24317480544243373	0 34 48 58 76 88 100 114 126 138 156 166 180 214	17257513800
SPT(14)	24317482298508727	0 60 70 72 76 82 102 154 174 180 184 186 196 256	19011779154
SPT(16)	24317490266929213	0 4 28 34 90 148 238 274 354 390 480 538 594 600 624 628	26980199640