Prime p₀= 174750368967138551 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 6 42 18 14 16 26 34 26 16 14 18 42 6 (?)
a_n: 0 6 48 66 80 96 122 156 182 198 212 230 272 278
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: 278
Found by: emoga
db: batch=67, k=14, 6 42 18 14 16 26 34

SPT(14)	174750321634039883	0 26 44 78 86 90 110 114 134 138 146 180 198 224	-47333098668
SPT(14)	174750335578104659	0 2 38 42 74 80 102 140 162 168 200 204 240 242	-33389033892
SPT(14)	174750342166889689	0 4 28 48 78 84 88 204 208 214 244 264 288 292	-26800248862
SPT(14)	174750350450285591	0 18 56 66 78 90 122 126 158 170 182 192 230 248	-18516852960
TPT(12)	174750354668613599	0 2 72 74 150 152 168 170 282 284 330 332	-14298524952
SPT(16)	174750367097937733	0 18 48 64 148 154 186 216 238 268 300 306 390 406 436 454	-1869200818
SPT(14)	174750371170043239	0 18 70 84 88 114 130 138 154 180 184 198 250 268	2202904688
SPT(14)	174750382699700387	0 2 24 30 60 66 114 182 230 236 266 272 294 296	13732561836
TPT(12)	174750399562173947	0 2 24 26 42 44 72 74 114 116 120 122	30595035396
STPT(10)	174750418267762061	0 2 6 8 48 50 90 92 96 98	49300623510
SPT(14)	174750462070773359	0 14 110 128 138 182 210 212 240 284 294 312 408 422	93103634808