Prime p₀= 56165241790280323 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 28 32 70 18 38 34 26 34 38 18 70 32 28 (?)
a_n: 0 28 60 130 148 186 220 246 280 318 336 406 438 466
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: 466
Found by: Dario666
db: batch=67, k=14, 28 32 70 18 38 34 26

SPT(14)	56165152800246331	0 22 72 76 118 142 178 210 246 270 312 316 366 388	-88990033992
SPT(14)	56165159419508641	0 6 10 12 52 60 82 90 112 120 160 162 166 172	-82370771682
SPT(16)	56165170953687361	0 42 70 76 88 118 130 142 156 168 180 210 222 228 256 298	-70836592962
SPT(14)	56165174605283033	0 26 50 104 120 146 156 188 198 224 240 294 318 344	-67184997290
SPT(14)	56165221919516737	0 34 46 54 84 100 154 186 240 256 286 294 306 340	-19870763586
SPT(14)	56165240686014751	0 46 48 58 70 88 142 156 210 228 240 250 252 298	-1104265572
SPT(14)	56165244236030477	0 14 44 56 114 126 144 146 164 176 234 246 276 290	2445750154
SPT(14)	56165252582636773	0 6 24 34 36 46 76 78 108 118 120 130 148 154	10792356450
SPT(14)	56165262532692451	0 28 48 76 90 102 120 178 196 208 222 250 270 298	20742412128
SPT(14)	56165266120320047	0 6 36 74 92 132 162 164 194 234 252 290 320 326	24330039724
STPT(10)	56165271218205179	0 2 18 20 30 32 42 44 60 62	29427924856