Prime p₀= 327458318166567487 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 4 2 94 54 62 10 98 10 62 54 94 2 4 (?)
a_n: 0 4 6 100 154 216 226 324 334 396 450 544 546 550
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: 550
Found by: Cruncher Pete
db: batch=70, k=14, 4 2 94 54 62 10 98

SPT(14)	327458211869070181	0 6 40 42 72 96 126 172 202 226 256 258 292 298	-106297497306
TPT(12)	327458232006473339	0 2 48 50 102 104 168 170 228 230 492 494	-86160094148
SPT(14)	327458244486637963	0 18 28 34 40 54 70 114 130 144 150 156 166 184	-73679929524
SPT(14)	327458248962603887	0 24 42 120 122 134 140 144 150 162 164 242 260 284	-69203963600
TPT(12)	327458298828807239	0 2 30 32 78 80 90 92 132 134 198 200	-19337760248
SPT(14)	327458306444900801	0 8 18 32 42 48 60 80 92 98 108 122 132 140	-11721666686
SPT(14)	327458321161672763	0 20 24 66 90 104 126 128 150 164 188 230 234 254	2995105276
SPT(14)	327458338305336331	0 10 30 42 48 52 142 186 276 280 286 298 318 328	20138768844
SPT(14)	327458340373577461	0 6 12 46 60 70 102 166 198 208 222 256 262 268	22207009974
TPT(12)	327458344515810587	0 2 60 62 72 74 162 164 204 206 342 344	26349243100
TPT(12)	327458355506424587	0 2 84 86 90 92 102 104 132 134 144 146	37339857100