Prime p₀= 304003565560499149 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 4 6 50 12 16 6 74 6 16 12 50 6 4 (?)
a_n: 0 4 10 60 72 88 94 168 174 190 202 252 258 262
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: 262
Found by: Vitalii Koshura
db: batch=69, k=14, 4 6 50 12 16 6 74

SPT(14)	304003448433467999	0 14 20 32 60 74 80 234 240 254 282 294 300 314	-117127031150
SPT(14)	304003459127440139	0 14 18 20 42 48 104 138 194 200 222 224 228 242	-106433059010
TPT(12)	304003488787457321	0 2 18 20 78 80 126 128 186 188 210 212	-76773041828
SPT(14)	304003513526435579	0 20 30 54 72 84 120 224 260 272 290 314 324 344	-52034063570
SPT(14)	304003536052814671	0 10 16 42 58 90 100 108 118 150 166 192 198 208	-29507684478
SPT(14)	304003538194378093	0 16 40 96 120 136 148 156 168 184 208 264 288 304	-27366121056
SPT(14)	304003585484409773	0 14 48 50 54 68 78 110 120 134 138 140 174 188	19923910624
SPT(14)	304003602067506461	0 2 30 102 110 116 158 180 222 228 236 308 336 338	36507007312
SPT(14)	304003621383457873	0 28 106 148 154 166 168 196 198 210 216 258 336 364	55822958724
SPT(14)	304003640689041779	0 2 14 50 54 62 78 104 120 128 132 168 180 182	75128542630
SPT(14)	304003653495610921	0 10 42 46 90 100 160 168 228 238 282 286 318 328	87935111772