Prime p₀= 2567663681334521179 starts a Symmetric tuple of 13 consecutive primes (SPT).
d_n: 0 48 12 18 60 30 6 6 30 60 18 12 48 (?)
a_n: 0 48 60 78 138 168 174 180 210 270 288 300 348
All 13 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 348
Found by: JayPi
db: batch=82, k=13, 48 12 18 60 30 6

SPT(16)	2567662806203507351	0 20 30 36 42 86 108 146 192 230 252 296 302 308 318 338	-875131013828
STPT(10)	2567663026141179059	0 2 42 44 60 62 78 80 120 122	-655193342120
STPT(10)	2567663114736407579	0 2 12 14 90 92 168 170 180 182	-566598113600
TPT(14)	2567663292148092947	0 2 30 32 42 44 90 92 132 134 180 182 222 224	-389186428232
SPT(16)	2567663409572372129	0 18 30 50 78 140 152 174 308 330 342 404 432 452 464 482	-271762149050
SPT(16)	2567663568186194393	0 80 84 110 114 144 164 186 194 216 236 266 270 296 300 380	-113148326786
SPT(16)	2567665394672495063	0 6 20 38 48 84 126 146 228 248 290 326 336 354 368 374	1713337973884
STPT(10)	2567665730875866167	0 2 30 32 42 44 54 56 84 86	2049541344988
SPT(16)	2567665810957187929	0 10 18 48 60 84 112 114 148 150 178 202 214 244 252 262	2129622666750
SPT(16)	2567665835999403773	0 44 78 90 174 188 204 260 264 320 336 350 434 446 480 524	2154664882594
TPT(14)	2567665851371905367	0 2 42 44 144 146 264 266 270 272 360 362 420 422	2170037384188