Prime p₀= 378622665215605033 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 28 26 36 10 36 2 58 2 36 10 36 26 28 (?)
a_n: 0 28 54 90 100 136 138 196 198 234 244 280 306 334
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: 334
Found by: Cruncher Pete
db: batch=70, k=14, 28 26 36 10 36 2 58

SPT(14)	378622507786231531	0 12 30 40 70 72 120 160 208 210 240 250 268 280	-157429373502
SPT(14)	378622520078323921	0 36 52 58 70 72 130 168 226 228 240 246 262 298	-145137281112
SPT(14)	378622523133399043	0 10 64 78 136 160 168 226 234 258 316 330 384 394	-142082205990
SPT(14)	378622551291800513	0 8 14 20 24 36 38 66 68 80 84 90 96 104	-113923804520
SPT(14)	378622554091685173	0 6 36 64 78 90 106 138 154 166 180 208 238 244	-111123919860
SPT(14)	378622658785374959	0 2 8 30 42 90 102 158 170 218 230 252 258 260	-6430230074
TPT(12)	378622672263483671	0 2 60 62 90 92 240 242 246 248 270 272	7047878638
SPT(14)	378622676244095191	0 10 16 30 42 126 142 150 166 250 262 276 282 292	11028490158
SPT(14)	378622682457861329	0 20 42 48 60 78 80 120 122 140 152 158 180 200	17242256296
SPT(14)	378622693254313961	0 18 26 60 78 140 150 176 186 248 266 300 308 326	28038708928
SPT(14)	378622710395435057	0 44 74 180 186 200 270 290 360 374 380 486 516 560	45179830024