Prime p₀= 70792733722100609 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 30 2 28 24 18 32 34 32 18 24 28 2 30 (?)
a_n: 0 30 32 60 84 102 134 168 200 218 242 270 272 302
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: 302
Found by: emoga
db: batch=67, k=14, 30 2 28 24 18 32 34

SPT(14)	70792707687587551	0 12 30 52 70 78 100 108 130 138 156 178 196 208	-26034513058
SPT(14)	70792711721820217	0 12 64 72 90 100 136 180 216 226 244 252 304 316	-22000280392
TPT(12)	70792711833065921	0 2 30 32 96 98 150 152 156 158 186 188	-21889034688
TPT(12)	70792713389427371	0 2 60 62 138 140 156 158 210 212 276 278	-20332673238
SPT(14)	70792723271347201	0 28 42 78 126 132 148 150 166 172 220 256 270 298	-10450753408
SPT(14)	70792728508274557	0 16 46 52 70 94 102 154 162 186 204 210 240 256	-5213826052
SPT(14)	70792746164129141	0 20 32 110 116 132 138 140 146 162 168 246 258 278	12442028532
TPT(12)	70792758072955481	0 2 138 140 168 170 210 212 246 248 336 338	24350854872
SPT(14)	70792765159484569	0 18 24 34 40 70 88 90 108 138 144 154 160 178	31437383960
SPT(14)	70792797632064719	0 18 30 78 138 144 210 222 288 294 354 402 414 432	63909964110
SPT(14)	70792800057082613	0 6 24 26 44 56 90 164 198 210 228 230 248 254	66334982004