Prime p₀= 418605441515253887 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 14 10 50 22 6 24 14 24 6 22 50 10 14 (?)
a_n: 0 14 24 74 96 102 126 140 164 170 192 242 252 266
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: 266
Found by: desktop64
db: batch=70, k=14, 14 10 50 22 6 24 14

SPT(14)	418605363614047193	0 44 48 56 78 86 90 134 138 146 168 176 180 224	-77901206694
TPT(12)	418605373592894399	0 2 18 20 60 62 72 74 132 134 162 164	-67922359488
SPT(14)	418605374042615489	0 2 8 72 78 90 98 114 122 134 140 204 210 212	-67472638398
SPT(14)	418605383582690131	0 10 42 48 76 100 120 148 168 192 220 226 258 268	-57932563756
SPT(14)	418605408752467603	0 6 66 78 106 150 168 196 214 258 286 298 358 364	-32762786284
SPT(14)	418605410492028197	0 20 32 42 62 114 162 194 242 294 314 324 336 356	-31023225690
TPT(12)	418605447390943667	0 2 30 32 72 74 162 164 192 194 204 206	5875689780
SPT(14)	418605449769444901	0 22 78 112 132 160 162 166 168 196 216 250 306 328	8254191014
SPT(14)	418605454605214231	0 10 28 40 78 88 148 150 210 220 258 270 288 298	13089960344
SPT(14)	418605458121201991	0 12 22 30 40 100 112 126 138 198 208 216 226 238	16605948104
SPT(14)	418605473598877069	0 22 30 40 82 114 124 180 190 222 264 274 282 304	32083623182