Prime p₀= 580663144708983563 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 36 20 10 14 6 18 136 18 6 14 10 20 36 (?)
a_n: 0 36 56 66 80 86 104 240 258 264 278 288 308 344
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: 344
Found by: vladimir
db: batch=71, k=14, 36 20 10 14 6 18 136

SPT(14)	580663013701517563	0 10 48 60 76 78 88 126 136 138 154 166 204 214	-131007466000
SPT(14)	580663014174084901	0 12 28 108 138 142 168 220 246 250 280 360 376 388	-130534898662
SPT(14)	580663042240774121	0 26 38 56 62 90 116 132 158 186 192 210 222 248	-102468209442
SPT(14)	580663120158076391	0 18 30 78 80 116 120 128 132 168 170 218 230 248	-24550907172
SPT(16)	580663125904742921	0 20 42 68 120 140 150 162 206 218 228 248 300 326 348 368	-18804240642
TPT(12)	580663138187060051	0 2 30 32 48 50 90 92 138 140 186 188	-6521923512
SPT(14)	580663145475038623	0 6 48 60 88 114 118 126 130 156 184 196 238 244	766055060
SPT(14)	580663155332105047	0 4 76 82 102 112 114 142 144 154 174 180 252 256	10623121484
SPT(14)	580663172730128473	0 34 76 88 96 108 150 244 286 298 306 318 360 394	28021144910
TPT(12)	580663181068568441	0 2 48 50 60 62 96 98 138 140 156 158	36359584878
SPT(14)	580663188627012079	0 28 30 52 64 72 120 172 220 228 240 262 264 292	43918028516