Prime p₀= 10577786020836721 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 16 6 18 6 20 34 8 34 20 6 18 6 16 (?)
a_n: 0 16 22 40 46 66 100 108 142 162 168 186 192 208
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: 208
Found by: crashtech
db: batch=62, k=14, 16 6 18 6 20 34 8

SPT(14)	10577750233178971	0 12 42 52 66 96 126 166 196 226 240 250 280 292	-35787657750
SPT(14)	10577756623931411	0 6 56 90 102 120 180 188 248 266 278 312 362 368	-29396905310
SPT(14)	10577760707522153	0 14 68 90 110 144 164 294 314 348 368 390 444 458	-25313314568
SPT(14)	10577764548445799	0 8 14 38 50 74 78 104 108 132 144 168 174 182	-21472390922
SPT(14)	10577784778121551	0 70 72 90 112 148 160 168 180 216 238 256 258 328	-1242715170
SPT(14)	10577785690597987	0 16 36 60 64 66 114 136 184 186 190 214 234 250	-330238734
SPT(14)	10577790122852059	0 42 48 60 78 90 100 120 130 142 160 172 178 220	4102015338
SPT(14)	10577797320821603	0 14 38 66 80 104 108 116 120 144 158 186 210 224	11299984882
TPT(12)	10577805178836167	0 2 24 26 30 32 42 44 60 62 84 86	19157999446
SPT(16)	10577813228441831	0 36 42 50 66 78 80 92 126 138 140 152 168 176 182 218	27207605110
SPT(16)	10577817340830227	0 12 36 120 152 200 206 210 242 246 252 300 332 416 440 452	31319993506