Prime p₀= 3427883656634323 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 24 4 18 14 6 28 26 28 6 14 18 4 24 (?)
a_n: 0 24 28 46 60 66 94 120 148 154 168 186 190 214
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: stoneageman
db: batch=61, k=14, 24 4 18 14 6 28 26

STPT(10)	3427868006008889	0 2 42 44 60 62 78 80 120 122	-15650625434
SPT(14)	3427868068811323	0 46 64 78 88 100 118 126 144 156 166 180 198 244	-15587823000
SPT(20)	3427871601509963	0 14 18 24 44 48 56 128 144 156 158 170 186 258 266 270 290 296 300 314	-12055124360
TPT(14)	3427877689641281	0 2 30 32 48 50 60 62 126 128 216 218 240 242	-5966993042
SPT(14)	3427877767907557	0 54 70 72 90 94 100 126 132 136 154 156 172 226	-5888726766
SPT(14)	3427880939901137	0 2 32 42 44 122 126 140 144 222 224 234 264 266	-2716733186
SPT(14)	3427886458221079	0 18 70 88 112 144 148 204 208 240 264 282 334 352	2801586756
SPT(14)	3427891573118939	0 42 54 90 104 122 132 170 180 198 212 248 260 302	7916484616
SPT(14)	3427895627063987	0 2 6 30 44 74 102 104 132 162 176 200 204 206	11970429664
SPT(14)	3427897868048809	0 12 22 30 70 72 84 100 112 114 154 162 172 184	14211414486
SPT(18)	3427910749829063	0 14 18 36 38 56 66 78 86 108 116 128 138 156 158 176 180 194	27093194740