Prime p₀= 52889662644910627 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 34 6 86 48 10 42 38 42 10 48 86 6 34 (?)
a_n: 0 34 40 126 174 184 226 264 306 316 364 450 456 490
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: 490
Found by: stoneageman
db: batch=65, k=14, 34 6 86 48 10 42 38

SPT(16)	52889603198901083	0 30 54 114 116 140 146 174 236 264 270 294 296 356 380 410	-59446009544
SPT(14)	52889610684389767	0 10 36 52 70 72 100 156 184 186 204 220 246 256	-51960520860
SPT(14)	52889615311701319	0 40 42 84 90 112 114 130 132 154 160 202 204 244	-47333209308
SPT(14)	52889622884754629	0 30 32 44 50 74 78 134 138 162 168 180 182 212	-39760155998
SPT(14)	52889635924232959	0 22 88 90 132 144 148 174 178 190 232 234 300 322	-26720677668
SPT(14)	52889642295674683	0 6 24 30 66 78 90 144 156 168 204 210 228 234	-20349235944
SPT(14)	52889666171814223	0 24 30 76 96 114 136 138 160 178 198 244 250 274	3526903596
TPT(12)	52889666280899099	0 2 78 80 168 170 222 224 240 242 288 290	3635988472
TPT(12)	52889667605929709	0 2 42 44 60 62 120 122 240 242 258 260	4961019082
SPT(14)	52889678975634233	0 14 50 80 104 134 168 200 234 264 288 318 354 368	16330723606
SPT(20)	52889703750144047	0 24 66 80 90 92 152 164 174 176 210 212 222 234 294 296 306 320 362 386	41105233420