Prime p₀= 7224659133090667 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 4 2 24 16 68 6 76 6 68 16 24 2 4 (?)
a_n: 0 4 6 30 46 114 120 196 202 270 286 310 312 316
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: 316
Found by: [SG-2W]Kurzer
db: batch=62, k=14, 4 2 24 16 68 6 76

TPT(12)	7224616477643219	0 2 12 14 30 32 42 44 48 50 72 74	-42655447448
SPT(14)	7224617980585781	0 6 18 48 80 102 128 270 296 318 350 380 392 398	-41152504886
SPT(14)	7224637891126099	0 10 12 42 52 72 78 142 148 168 178 208 210 220	-21241964568
SPT(14)	7224647210784919	0 4 12 24 100 108 114 208 214 222 298 310 318 322	-11922305748
SPT(14)	7224650056693889	0 14 18 24 78 80 102 140 162 164 218 224 228 242	-9076396778
SPT(14)	7224650442205571	0 8 18 20 36 60 92 96 128 152 168 170 180 188	-8690885096
SPT(16)	7224659824849067	0 2 24 32 54 60 66 96 170 200 206 212 234 242 264 266	691758400
SPT(14)	7224666666067517	0 2 32 72 102 122 132 140 150 170 200 240 270 272	7532976850
SPT(16)	7224667906433671	0 12 16 18 40 70 102 108 130 136 168 198 220 222 226 238	8773343004
SPT(14)	7224669759460411	0 46 70 112 118 126 142 156 172 180 186 228 252 298	10626369744
SPT(16)	7224675934727633	0 44 48 78 90 96 114 144 170 200 218 224 236 266 270 314	16801636966