Prime p₀= 10577844283990769 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 30 2 42 30 4 20 16 20 4 30 42 2 30 (?)
a_n: 0 30 32 74 104 108 128 144 164 168 198 240 242 272
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: 272
Found by: crashtech
db: batch=62, k=14, 30 2 42 30 4 20 16

SPT(14)	10577797320821603	0 14 38 66 80 104 108 116 120 144 158 186 210 224	-46963169166
TPT(12)	10577805178836167	0 2 24 26 30 32 42 44 60 62 84 86	-39105154602
SPT(16)	10577813228441831	0 36 42 50 66 78 80 92 126 138 140 152 168 176 182 218	-31055548938
SPT(16)	10577817340830227	0 12 36 120 152 200 206 210 242 246 252 300 332 416 440 452	-26943160542
STPT(10)	10577818685675819	0 2 48 50 90 92 132 134 180 182	-25598314950
SPT(14)	10577834531240321	0 50 92 102 116 126 132 170 176 186 200 210 252 302	-9752750448
SPT(14)	10577855723536979	0 8 14 44 54 78 138 170 230 254 264 294 300 308	11439546210
SPT(14)	10577860168590901	0 58 70 106 112 120 142 186 208 216 222 258 270 328	15884600132
SPT(16)	10577861594698549	0 12 22 42 82 84 88 138 154 204 208 210 250 270 280 292	17310707780
SPT(14)	10577863530036059	0 8 14 20 38 80 104 138 162 204 222 228 234 242	19246045290
SPT(14)	10577879266729009	0 42 58 78 112 114 160 162 208 210 244 264 280 322	34982738240