Prime p₀= 109811627189032367 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 30 32 22 42 20 6 22 6 20 42 22 32 30 (?)
a_n: 0 30 62 84 126 146 152 174 180 200 242 264 296 326
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: 326
Found by: amazing
db: batch=67, k=14, 30 32 22 42 20 6 22

SPT(14)	109811578607566501	0 12 46 70 72 78 100 108 130 136 138 162 196 208	-48581465866
SPT(14)	109811582944252229	0 54 62 120 122 132 134 150 152 162 164 222 230 284	-44244780138
SPT(14)	109811586340515481	0 60 112 136 160 178 196 252 270 288 312 336 388 448	-40848516886
TPT(14)	109811587295748851	0 2 6 8 60 62 168 170 198 200 300 302 396 398	-39893283516
SPT(16)	109811588991815233	0 64 66 76 90 108 144 168 196 220 256 274 288 298 300 364	-38197217134
SPT(14)	109811602302836219	0 2 42 48 60 128 218 282 372 440 452 458 498 500	-24886196148
SPT(14)	109811629076675023	0 28 60 70 78 84 94 114 124 130 138 148 180 208	1887642656
SPT(14)	109811639024139319	0 22 40 60 64 94 112 120 138 168 172 192 210 232	11835106952
SPT(14)	109811668188749623	0 10 40 54 78 88 94 120 126 136 160 174 204 214	40999717256
SPT(14)	109811668964670679	0 10 12 40 70 84 90 94 100 114 144 172 174 184	41775638312
SPT(14)	109811675290019737	0 30 40 52 72 82 90 94 102 112 132 144 154 184	48100987370