Prime p₀= 164968788404962967 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 6 18 38 48 6 28 128 28 6 48 38 18 6 (?)
a_n: 0 6 24 62 110 116 144 272 300 306 354 392 410 416
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: 416
Found by: ChelseaOilman
db: batch=67, k=14, 6 18 38 48 6 28 128

SPT(16)	164968708849897319	0 30 42 48 98 110 132 152 168 188 210 222 272 278 290 320	-79555065648
TPT(12)	164968730162465807	0 2 12 14 42 44 54 56 90 92 114 116	-58242497160
SPT(14)	164968736251811213	0 30 66 74 128 144 186 218 260 276 330 338 374 404	-52153151754
SPT(14)	164968739170514371	0 52 60 72 100 130 136 186 192 222 250 262 270 322	-49234448596
TPT(12)	164968759979903777	0 2 30 32 84 86 102 104 120 122 144 146	-28425059190
SPT(14)	164968774132182239	0 18 32 50 92 120 140 150 170 198 240 258 272 290	-14272780728
SPT(14)	164968805198353951	0 22 42 72 82 100 130 138 168 186 196 226 246 268	16793390984
SPT(14)	164968823146228931	0 20 26 32 36 48 62 126 140 152 156 162 168 188	34741265964
SPT(16)	164968829682787517	0 44 50 56 72 134 170 176 210 216 252 314 330 336 342 386	41277824550
SPT(14)	164968837030109479	0 58 64 90 100 124 154 204 234 258 268 294 300 358	48625146512
SPT(14)	164968843674178793	0 30 60 134 138 200 204 260 264 326 330 404 434 464	55269215826