Prime p₀= 301020940564393219 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 22 8 18 12 24 4 86 4 24 12 18 8 22 (?)
a_n: 0 22 30 48 60 84 88 174 178 202 214 232 240 262
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: BlackGoose05
db: batch=69, k=14, 22 8 18 12 24 4 86

SPT(14)	301020786875870143	0 10 84 124 154 216 220 234 238 300 330 370 444 454	-153688523076
SPT(14)	301020822593201167	0 6 22 30 46 52 66 70 84 90 106 114 130 136	-117971192052
SPT(14)	301020822669635597	0 2 12 86 90 114 132 224 242 266 270 344 354 356	-117894757622
SPT(14)	301020861997068139	0 28 40 54 64 72 112 150 190 198 208 222 234 262	-78567325080
SPT(14)	301020927949012409	0 32 108 144 152 158 188 264 294 300 308 344 420 452	-12615380810
SPT(14)	301020936562534673	0 24 44 56 60 108 114 170 176 224 228 240 260 284	-4001858546
SPT(14)	301021014231809617	0 4 6 36 72 126 142 144 160 214 250 280 282 286	73667416398
SPT(14)	301021039980005827	0 30 40 52 54 66 96 130 160 172 174 186 196 226	99415612608
TPT(12)	301021050252808841	0 2 48 50 60 62 96 98 156 158 228 230	109688415622
SPT(14)	301021050586383307	0 10 24 82 90 96 112 144 160 166 174 232 246 256	110021990088
SPT(14)	301021055780050961	0 18 50 56 60 68 116 120 168 176 180 186 218 236	115215657742